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Finding the Fourth Proportional to 1,656.90, 2,281.80 and 1,324.30

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Solution

The fourth proportional to 1,656.90, 2,281.80 and 1,324.30 is: 1,823.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.90 : 2,281.80 = 1,324.30 : x
  2. Step 2: Convert to fraction form
    1,656.90/2,281.80 = 1,324.30/x
  3. Step 3: Cross multiply
    1,656.90x = 2,281.80 × 1,324.30
  4. Step 4: Simplify right side
    1,656.90x = 3,021,787.74
  5. Step 5: Solve for x
    x = 3,021,787.74/1,656.90
  6. Step 6: Final answer
    x = 1,823.76

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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.