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Finding the Fourth Proportional to 2,277.66, 3,417.80 and 891.11

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Solution

The fourth proportional to 2,277.66, 3,417.80 and 891.11 is: 1,337.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.66 : 3,417.80 = 891.11 : x
  2. Step 2: Convert to fraction form
    2,277.66/3,417.80 = 891.11/x
  3. Step 3: Cross multiply
    2,277.66x = 3,417.80 × 891.11
  4. Step 4: Simplify right side
    2,277.66x = 3,045,639.85
  5. Step 5: Solve for x
    x = 3,045,639.85/2,277.66
  6. Step 6: Final answer
    x = 1,337.18

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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.