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Finding the Fourth Proportional to 2,641.66, 3,645.16 and 1,462.74

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Solution

The fourth proportional to 2,641.66, 3,645.16 and 1,462.74 is: 2,018.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.66 : 3,645.16 = 1,462.74 : x
  2. Step 2: Convert to fraction form
    2,641.66/3,645.16 = 1,462.74/x
  3. Step 3: Cross multiply
    2,641.66x = 3,645.16 × 1,462.74
  4. Step 4: Simplify right side
    2,641.66x = 5,331,899.46
  5. Step 5: Solve for x
    x = 5,331,899.46/2,641.66
  6. Step 6: Final answer
    x = 2,018.39

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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.