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Finding the Fourth Proportional to 3,148.70, 4,721.70 and 1,588.10

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Solution

The fourth proportional to 3,148.70, 4,721.70 and 1,588.10 is: 2,381.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,148.70 : 4,721.70 = 1,588.10 : x
  2. Step 2: Convert to fraction form
    3,148.70/4,721.70 = 1,588.10/x
  3. Step 3: Cross multiply
    3,148.70x = 4,721.70 × 1,588.10
  4. Step 4: Simplify right side
    3,148.70x = 7,498,531.77
  5. Step 5: Solve for x
    x = 7,498,531.77/3,148.70
  6. Step 6: Final answer
    x = 2,381.47

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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.