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Finding the Fourth Proportional to 1,434.78, 1,978.71 and 1,123.74

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Solution

The fourth proportional to 1,434.78, 1,978.71 and 1,123.74 is: 1,549.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.78 : 1,978.71 = 1,123.74 : x
  2. Step 2: Convert to fraction form
    1,434.78/1,978.71 = 1,123.74/x
  3. Step 3: Cross multiply
    1,434.78x = 1,978.71 × 1,123.74
  4. Step 4: Simplify right side
    1,434.78x = 2,223,555.58
  5. Step 5: Solve for x
    x = 2,223,555.58/1,434.78
  6. Step 6: Final answer
    x = 1,549.75

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