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Finding the Fourth Proportional to 1,681.50, 2,320.65 and 1,177.44

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Solution

The fourth proportional to 1,681.50, 2,320.65 and 1,177.44 is: 1,624.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.50 : 2,320.65 = 1,177.44 : x
  2. Step 2: Convert to fraction form
    1,681.50/2,320.65 = 1,177.44/x
  3. Step 3: Cross multiply
    1,681.50x = 2,320.65 × 1,177.44
  4. Step 4: Simplify right side
    1,681.50x = 2,732,426.14
  5. Step 5: Solve for x
    x = 2,732,426.14/1,681.50
  6. Step 6: Final answer
    x = 1,624.99

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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.