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Finding the Fourth Proportional to 2,509.29, 3,462.54 and 1,389.95

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Solution

The fourth proportional to 2,509.29, 3,462.54 and 1,389.95 is: 1,917.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.29 : 3,462.54 = 1,389.95 : x
  2. Step 2: Convert to fraction form
    2,509.29/3,462.54 = 1,389.95/x
  3. Step 3: Cross multiply
    2,509.29x = 3,462.54 × 1,389.95
  4. Step 4: Simplify right side
    2,509.29x = 4,812,766.13
  5. Step 5: Solve for x
    x = 4,812,766.13/2,509.29
  6. Step 6: Final answer
    x = 1,917.98

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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.