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Finding the Fourth Proportional to 1,540.15, 2,309.95 and 500.00

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Solution

The fourth proportional to 1,540.15, 2,309.95 and 500.00 is: 749.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.15 : 2,309.95 = 500.00 : x
  2. Step 2: Convert to fraction form
    1,540.15/2,309.95 = 500.00/x
  3. Step 3: Cross multiply
    1,540.15x = 2,309.95 × 500.00
  4. Step 4: Simplify right side
    1,540.15x = 1,154,970.57
  5. Step 5: Solve for x
    x = 1,154,970.57/1,540.15
  6. Step 6: Final answer
    x = 749.91

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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.