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Finding the Fourth Proportional to 1,386.16, 2,076.52 and 916.20

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Solution

The fourth proportional to 1,386.16, 2,076.52 and 916.20 is: 1,372.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.16 : 2,076.52 = 916.20 : x
  2. Step 2: Convert to fraction form
    1,386.16/2,076.52 = 916.20/x
  3. Step 3: Cross multiply
    1,386.16x = 2,076.52 × 916.20
  4. Step 4: Simplify right side
    1,386.16x = 1,902,507.62
  5. Step 5: Solve for x
    x = 1,902,507.62/1,386.16
  6. Step 6: Final answer
    x = 1,372.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.