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Finding the Fourth Proportional to 1,931.32, 2,898.04 and 1,053.78

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Solution

The fourth proportional to 1,931.32, 2,898.04 and 1,053.78 is: 1,581.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.32 : 2,898.04 = 1,053.78 : x
  2. Step 2: Convert to fraction form
    1,931.32/2,898.04 = 1,053.78/x
  3. Step 3: Cross multiply
    1,931.32x = 2,898.04 × 1,053.78
  4. Step 4: Simplify right side
    1,931.32x = 3,053,908.78
  5. Step 5: Solve for x
    x = 3,053,908.78/1,931.32
  6. Step 6: Final answer
    x = 1,581.26

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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.