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Finding the Fourth Proportional to 1,416.83, 2,113.86 and 1,260.90

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Solution

The fourth proportional to 1,416.83, 2,113.86 and 1,260.90 is: 1,881.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.83 : 2,113.86 = 1,260.90 : x
  2. Step 2: Convert to fraction form
    1,416.83/2,113.86 = 1,260.90/x
  3. Step 3: Cross multiply
    1,416.83x = 2,113.86 × 1,260.90
  4. Step 4: Simplify right side
    1,416.83x = 2,665,370.80
  5. Step 5: Solve for x
    x = 2,665,370.80/1,416.83
  6. Step 6: Final answer
    x = 1,881.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.