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Finding the Fourth Proportional to 1,262.18, 1,900.87 and 1,117.75

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Solution

The fourth proportional to 1,262.18, 1,900.87 and 1,117.75 is: 1,683.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.18 : 1,900.87 = 1,117.75 : x
  2. Step 2: Convert to fraction form
    1,262.18/1,900.87 = 1,117.75/x
  3. Step 3: Cross multiply
    1,262.18x = 1,900.87 × 1,117.75
  4. Step 4: Simplify right side
    1,262.18x = 2,124,687.10
  5. Step 5: Solve for x
    x = 2,124,687.10/1,262.18
  6. Step 6: Final answer
    x = 1,683.35

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.