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Finding the Fourth Proportional to 1,499.93, 2,247.15 and 1,305.53

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Solution

The fourth proportional to 1,499.93, 2,247.15 and 1,305.53 is: 1,955.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,499.93 : 2,247.15 = 1,305.53 : x
  2. Step 2: Convert to fraction form
    1,499.93/2,247.15 = 1,305.53/x
  3. Step 3: Cross multiply
    1,499.93x = 2,247.15 × 1,305.53
  4. Step 4: Simplify right side
    1,499.93x = 2,933,710.50
  5. Step 5: Solve for x
    x = 2,933,710.50/1,499.93
  6. Step 6: Final answer
    x = 1,955.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.