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Finding the Fourth Proportional to 1,742.52, 2,613.32 and 510.06

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Solution

The fourth proportional to 1,742.52, 2,613.32 and 510.06 is: 764.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.52 : 2,613.32 = 510.06 : x
  2. Step 2: Convert to fraction form
    1,742.52/2,613.32 = 510.06/x
  3. Step 3: Cross multiply
    1,742.52x = 2,613.32 × 510.06
  4. Step 4: Simplify right side
    1,742.52x = 1,332,950.00
  5. Step 5: Solve for x
    x = 1,332,950.00/1,742.52
  6. Step 6: Final answer
    x = 764.96

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