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Finding the Fourth Proportional to 2,298.84, 3,442.14 and 1,569.84

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Solution

The fourth proportional to 2,298.84, 3,442.14 and 1,569.84 is: 2,350.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.84 : 3,442.14 = 1,569.84 : x
  2. Step 2: Convert to fraction form
    2,298.84/3,442.14 = 1,569.84/x
  3. Step 3: Cross multiply
    2,298.84x = 3,442.14 × 1,569.84
  4. Step 4: Simplify right side
    2,298.84x = 5,403,609.06
  5. Step 5: Solve for x
    x = 5,403,609.06/2,298.84
  6. Step 6: Final answer
    x = 2,350.58

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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.