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Finding the Fourth Proportional to 2,637.59, 3,638.57 and 1,752.26

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Solution

The fourth proportional to 2,637.59, 3,638.57 and 1,752.26 is: 2,417.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,637.59 : 3,638.57 = 1,752.26 : x
  2. Step 2: Convert to fraction form
    2,637.59/3,638.57 = 1,752.26/x
  3. Step 3: Cross multiply
    2,637.59x = 3,638.57 × 1,752.26
  4. Step 4: Simplify right side
    2,637.59x = 6,375,693.71
  5. Step 5: Solve for x
    x = 6,375,693.71/2,637.59
  6. Step 6: Final answer
    x = 2,417.25

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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.