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Finding the Fourth Proportional to 3,146.38, 4,715.54 and 1,298.80

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Solution

The fourth proportional to 3,146.38, 4,715.54 and 1,298.80 is: 1,946.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.38 : 4,715.54 = 1,298.80 : x
  2. Step 2: Convert to fraction form
    3,146.38/4,715.54 = 1,298.80/x
  3. Step 3: Cross multiply
    3,146.38x = 4,715.54 × 1,298.80
  4. Step 4: Simplify right side
    3,146.38x = 6,124,521.10
  5. Step 5: Solve for x
    x = 6,124,521.10/3,146.38
  6. Step 6: Final answer
    x = 1,946.53

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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.