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Finding the Fourth Proportional to 2,862.40, 4,288.80 and 1,398.40

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Solution

The fourth proportional to 2,862.40, 4,288.80 and 1,398.40 is: 2,095.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.40 : 4,288.80 = 1,398.40 : x
  2. Step 2: Convert to fraction form
    2,862.40/4,288.80 = 1,398.40/x
  3. Step 3: Cross multiply
    2,862.40x = 4,288.80 × 1,398.40
  4. Step 4: Simplify right side
    2,862.40x = 5,997,457.92
  5. Step 5: Solve for x
    x = 5,997,457.92/2,862.40
  6. Step 6: Final answer
    x = 2,095.26

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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.