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Finding the Fourth Proportional to 2,359, 3,532.52 and 1,421.38

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Solution

The fourth proportional to 2,359, 3,532.52 and 1,421.38 is: 2,128.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359 : 3,532.52 = 1,421.38 : x
  2. Step 2: Convert to fraction form
    2,359/3,532.52 = 1,421.38/x
  3. Step 3: Cross multiply
    2,359x = 3,532.52 × 1,421.38
  4. Step 4: Simplify right side
    2,359x = 5,021,053.28
  5. Step 5: Solve for x
    x = 5,021,053.28/2,359
  6. Step 6: Final answer
    x = 2,128.47

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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.