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Finding the Fourth Proportional to 1,564.49, 2,338.10 and 1,254.89

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Solution

The fourth proportional to 1,564.49, 2,338.10 and 1,254.89 is: 1,875.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.49 : 2,338.10 = 1,254.89 : x
  2. Step 2: Convert to fraction form
    1,564.49/2,338.10 = 1,254.89/x
  3. Step 3: Cross multiply
    1,564.49x = 2,338.10 × 1,254.89
  4. Step 4: Simplify right side
    1,564.49x = 2,934,062.59
  5. Step 5: Solve for x
    x = 2,934,062.59/1,564.49
  6. Step 6: Final answer
    x = 1,875.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.