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Finding the Fourth Proportional to 1,607.62, 2,218.89 and 909.22

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Solution

The fourth proportional to 1,607.62, 2,218.89 and 909.22 is: 1,254.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.62 : 2,218.89 = 909.22 : x
  2. Step 2: Convert to fraction form
    1,607.62/2,218.89 = 909.22/x
  3. Step 3: Cross multiply
    1,607.62x = 2,218.89 × 909.22
  4. Step 4: Simplify right side
    1,607.62x = 2,017,459.17
  5. Step 5: Solve for x
    x = 2,017,459.17/1,607.62
  6. Step 6: Final answer
    x = 1,254.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.