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Finding the Fourth Proportional to 1,410.61, 2,118.33 and 917.86

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Solution

The fourth proportional to 1,410.61, 2,118.33 and 917.86 is: 1,378.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.61 : 2,118.33 = 917.86 : x
  2. Step 2: Convert to fraction form
    1,410.61/2,118.33 = 917.86/x
  3. Step 3: Cross multiply
    1,410.61x = 2,118.33 × 917.86
  4. Step 4: Simplify right side
    1,410.61x = 1,944,325.78
  5. Step 5: Solve for x
    x = 1,944,325.78/1,410.61
  6. Step 6: Final answer
    x = 1,378.36

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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.