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Finding the Fourth Proportional to 1,387.34, 1,913.60 and 1,092.10

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Solution

The fourth proportional to 1,387.34, 1,913.60 and 1,092.10 is: 1,506.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.34 : 1,913.60 = 1,092.10 : x
  2. Step 2: Convert to fraction form
    1,387.34/1,913.60 = 1,092.10/x
  3. Step 3: Cross multiply
    1,387.34x = 1,913.60 × 1,092.10
  4. Step 4: Simplify right side
    1,387.34x = 2,089,841.02
  5. Step 5: Solve for x
    x = 2,089,841.02/1,387.34
  6. Step 6: Final answer
    x = 1,506.36

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Why These Related Problems?

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