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Finding the Fourth Proportional to 2,296.53, 3,442.95 and 1,064.52

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Solution

The fourth proportional to 2,296.53, 3,442.95 and 1,064.52 is: 1,595.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.53 : 3,442.95 = 1,064.52 : x
  2. Step 2: Convert to fraction form
    2,296.53/3,442.95 = 1,064.52/x
  3. Step 3: Cross multiply
    2,296.53x = 3,442.95 × 1,064.52
  4. Step 4: Simplify right side
    2,296.53x = 3,665,089.13
  5. Step 5: Solve for x
    x = 3,665,089.13/2,296.53
  6. Step 6: Final answer
    x = 1,595.92

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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.