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Finding the Fourth Proportional to 3,140.52, 4,706.91 and 1,290.48

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Solution

The fourth proportional to 3,140.52, 4,706.91 and 1,290.48 is: 1,934.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.52 : 4,706.91 = 1,290.48 : x
  2. Step 2: Convert to fraction form
    3,140.52/4,706.91 = 1,290.48/x
  3. Step 3: Cross multiply
    3,140.52x = 4,706.91 × 1,290.48
  4. Step 4: Simplify right side
    3,140.52x = 6,074,173.22
  5. Step 5: Solve for x
    x = 6,074,173.22/3,140.52
  6. Step 6: Final answer
    x = 1,934.13

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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.