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Finding the Fourth Proportional to 1,355.47, 2,029.35 and 891.85

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Solution

The fourth proportional to 1,355.47, 2,029.35 and 891.85 is: 1,335.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.47 : 2,029.35 = 891.85 : x
  2. Step 2: Convert to fraction form
    1,355.47/2,029.35 = 891.85/x
  3. Step 3: Cross multiply
    1,355.47x = 2,029.35 × 891.85
  4. Step 4: Simplify right side
    1,355.47x = 1,809,875.02
  5. Step 5: Solve for x
    x = 1,809,875.02/1,355.47
  6. Step 6: Final answer
    x = 1,335.24

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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.