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Finding the Fourth Proportional to 2,929.47, 4,393.61 and 954.59

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Solution

The fourth proportional to 2,929.47, 4,393.61 and 954.59 is: 1,431.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,929.47 : 4,393.61 = 954.59 : x
  2. Step 2: Convert to fraction form
    2,929.47/4,393.61 = 954.59/x
  3. Step 3: Cross multiply
    2,929.47x = 4,393.61 × 954.59
  4. Step 4: Simplify right side
    2,929.47x = 4,194,091.40
  5. Step 5: Solve for x
    x = 4,194,091.40/2,929.47
  6. Step 6: Final answer
    x = 1,431.69

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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.