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Finding the Fourth Proportional to 2,632.48, 3,948.72 and 1,534.56

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Solution

The fourth proportional to 2,632.48, 3,948.72 and 1,534.56 is: 2,301.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.48 : 3,948.72 = 1,534.56 : x
  2. Step 2: Convert to fraction form
    2,632.48/3,948.72 = 1,534.56/x
  3. Step 3: Cross multiply
    2,632.48x = 3,948.72 × 1,534.56
  4. Step 4: Simplify right side
    2,632.48x = 6,059,547.76
  5. Step 5: Solve for x
    x = 6,059,547.76/2,632.48
  6. Step 6: Final answer
    x = 2,301.84

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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.