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Finding the Fourth Proportional to 1,376.52, 1,899.18 and 910.68

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Solution

The fourth proportional to 1,376.52, 1,899.18 and 910.68 is: 1,256.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.52 : 1,899.18 = 910.68 : x
  2. Step 2: Convert to fraction form
    1,376.52/1,899.18 = 910.68/x
  3. Step 3: Cross multiply
    1,376.52x = 1,899.18 × 910.68
  4. Step 4: Simplify right side
    1,376.52x = 1,729,545.24
  5. Step 5: Solve for x
    x = 1,729,545.24/1,376.52
  6. Step 6: Final answer
    x = 1,256.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.