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Finding the Fourth Proportional to 2,148.54, 2,963.94 and 1,402.16

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Solution

The fourth proportional to 2,148.54, 2,963.94 and 1,402.16 is: 1,934.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.54 : 2,963.94 = 1,402.16 : x
  2. Step 2: Convert to fraction form
    2,148.54/2,963.94 = 1,402.16/x
  3. Step 3: Cross multiply
    2,148.54x = 2,963.94 × 1,402.16
  4. Step 4: Simplify right side
    2,148.54x = 4,155,918.11
  5. Step 5: Solve for x
    x = 4,155,918.11/2,148.54
  6. Step 6: Final answer
    x = 1,934.30

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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.