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Finding the Fourth Proportional to 2,518.40, 3,475.13 and 1,456.00

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Solution

The fourth proportional to 2,518.40, 3,475.13 and 1,456.00 is: 2,009.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,518.40 : 3,475.13 = 1,456.00 : x
  2. Step 2: Convert to fraction form
    2,518.40/3,475.13 = 1,456.00/x
  3. Step 3: Cross multiply
    2,518.40x = 3,475.13 × 1,456.00
  4. Step 4: Simplify right side
    2,518.40x = 5,059,787.18
  5. Step 5: Solve for x
    x = 5,059,787.18/2,518.40
  6. Step 6: Final answer
    x = 2,009.13

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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.