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Finding the Fourth Proportional to 2,430.72, 3,642.56 and 1,655.04

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Solution

The fourth proportional to 2,430.72, 3,642.56 and 1,655.04 is: 2,480.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.72 : 3,642.56 = 1,655.04 : x
  2. Step 2: Convert to fraction form
    2,430.72/3,642.56 = 1,655.04/x
  3. Step 3: Cross multiply
    2,430.72x = 3,642.56 × 1,655.04
  4. Step 4: Simplify right side
    2,430.72x = 6,028,582.50
  5. Step 5: Solve for x
    x = 6,028,582.50/2,430.72
  6. Step 6: Final answer
    x = 2,480.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.