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Finding the Fourth Proportional to 2,648.59, 3,657.12 and 1,809.32

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Solution

The fourth proportional to 2,648.59, 3,657.12 and 1,809.32 is: 2,498.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.59 : 3,657.12 = 1,809.32 : x
  2. Step 2: Convert to fraction form
    2,648.59/3,657.12 = 1,809.32/x
  3. Step 3: Cross multiply
    2,648.59x = 3,657.12 × 1,809.32
  4. Step 4: Simplify right side
    2,648.59x = 6,616,909.50
  5. Step 5: Solve for x
    x = 6,616,909.50/2,648.59
  6. Step 6: Final answer
    x = 2,498.28

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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.