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Finding the Fourth Proportional to 1,728.18, 2,385.80 and 1,388.40

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Solution

The fourth proportional to 1,728.18, 2,385.80 and 1,388.40 is: 1,916.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.18 : 2,385.80 = 1,388.40 : x
  2. Step 2: Convert to fraction form
    1,728.18/2,385.80 = 1,388.40/x
  3. Step 3: Cross multiply
    1,728.18x = 2,385.80 × 1,388.40
  4. Step 4: Simplify right side
    1,728.18x = 3,312,444.72
  5. Step 5: Solve for x
    x = 3,312,444.72/1,728.18
  6. Step 6: Final answer
    x = 1,916.72

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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.