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Finding the Fourth Proportional to 2,165.40, 2,988 and 1,281.24

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Solution

The fourth proportional to 2,165.40, 2,988 and 1,281.24 is: 1,767.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.40 : 2,988 = 1,281.24 : x
  2. Step 2: Convert to fraction form
    2,165.40/2,988 = 1,281.24/x
  3. Step 3: Cross multiply
    2,165.40x = 2,988 × 1,281.24
  4. Step 4: Simplify right side
    2,165.40x = 3,828,345.12
  5. Step 5: Solve for x
    x = 3,828,345.12/2,165.40
  6. Step 6: Final answer
    x = 1,767.96

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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.