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Finding the Fourth Proportional to 1,315.60, 1,963.64 and 1,139.11

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Solution

The fourth proportional to 1,315.60, 1,963.64 and 1,139.11 is: 1,700.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.60 : 1,963.64 = 1,139.11 : x
  2. Step 2: Convert to fraction form
    1,315.60/1,963.64 = 1,139.11/x
  3. Step 3: Cross multiply
    1,315.60x = 1,963.64 × 1,139.11
  4. Step 4: Simplify right side
    1,315.60x = 2,236,801.96
  5. Step 5: Solve for x
    x = 2,236,801.96/1,315.60
  6. Step 6: Final answer
    x = 1,700.21

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