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Finding the Fourth Proportional to 1,348.14, 1,860.60 and 1,032.84

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Solution

The fourth proportional to 1,348.14, 1,860.60 and 1,032.84 is: 1,425.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.14 : 1,860.60 = 1,032.84 : x
  2. Step 2: Convert to fraction form
    1,348.14/1,860.60 = 1,032.84/x
  3. Step 3: Cross multiply
    1,348.14x = 1,860.60 × 1,032.84
  4. Step 4: Simplify right side
    1,348.14x = 1,921,702.10
  5. Step 5: Solve for x
    x = 1,921,702.10/1,348.14
  6. Step 6: Final answer
    x = 1,425.45

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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.