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Finding the Fourth Proportional to 2,765.60, 4,148.10 and 1,122.32

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Solution

The fourth proportional to 2,765.60, 4,148.10 and 1,122.32 is: 1,683.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.60 : 4,148.10 = 1,122.32 : x
  2. Step 2: Convert to fraction form
    2,765.60/4,148.10 = 1,122.32/x
  3. Step 3: Cross multiply
    2,765.60x = 4,148.10 × 1,122.32
  4. Step 4: Simplify right side
    2,765.60x = 4,655,495.59
  5. Step 5: Solve for x
    x = 4,655,495.59/2,765.60
  6. Step 6: Final answer
    x = 1,683.36

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