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Finding the Fourth Proportional to 1,347.90, 2,015.76 and 1,102.47

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Solution

The fourth proportional to 1,347.90, 2,015.76 and 1,102.47 is: 1,648.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.90 : 2,015.76 = 1,102.47 : x
  2. Step 2: Convert to fraction form
    1,347.90/2,015.76 = 1,102.47/x
  3. Step 3: Cross multiply
    1,347.90x = 2,015.76 × 1,102.47
  4. Step 4: Simplify right side
    1,347.90x = 2,222,314.93
  5. Step 5: Solve for x
    x = 2,222,314.93/1,347.90
  6. Step 6: Final answer
    x = 1,648.72

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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.