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Finding the Fourth Proportional to 2,645.98, 3,656.27 and 1,762.97

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Solution

The fourth proportional to 2,645.98, 3,656.27 and 1,762.97 is: 2,436.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.98 : 3,656.27 = 1,762.97 : x
  2. Step 2: Convert to fraction form
    2,645.98/3,656.27 = 1,762.97/x
  3. Step 3: Cross multiply
    2,645.98x = 3,656.27 × 1,762.97
  4. Step 4: Simplify right side
    2,645.98x = 6,445,894.32
  5. Step 5: Solve for x
    x = 6,445,894.32/2,645.98
  6. Step 6: Final answer
    x = 2,436.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.