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Finding the Fourth Proportional to 3,145.79, 4,721.41 and 1,298.23

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Solution

The fourth proportional to 3,145.79, 4,721.41 and 1,298.23 is: 1,948.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.79 : 4,721.41 = 1,298.23 : x
  2. Step 2: Convert to fraction form
    3,145.79/4,721.41 = 1,298.23/x
  3. Step 3: Cross multiply
    3,145.79x = 4,721.41 × 1,298.23
  4. Step 4: Simplify right side
    3,145.79x = 6,129,476.10
  5. Step 5: Solve for x
    x = 6,129,476.10/3,145.79
  6. Step 6: Final answer
    x = 1,948.47

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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.