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Finding the Fourth Proportional to 2,298.35, 3,442.95 and 1,064.06

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Solution

The fourth proportional to 2,298.35, 3,442.95 and 1,064.06 is: 1,593.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.35 : 3,442.95 = 1,064.06 : x
  2. Step 2: Convert to fraction form
    2,298.35/3,442.95 = 1,064.06/x
  3. Step 3: Cross multiply
    2,298.35x = 3,442.95 × 1,064.06
  4. Step 4: Simplify right side
    2,298.35x = 3,663,505.38
  5. Step 5: Solve for x
    x = 3,663,505.38/2,298.35
  6. Step 6: Final answer
    x = 1,593.97

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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.