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Finding the Fourth Proportional to 2,298.55, 3,447.84 and 1,566.31

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Solution

The fourth proportional to 2,298.55, 3,447.84 and 1,566.31 is: 2,349.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.55 : 3,447.84 = 1,566.31 : x
  2. Step 2: Convert to fraction form
    2,298.55/3,447.84 = 1,566.31/x
  3. Step 3: Cross multiply
    2,298.55x = 3,447.84 × 1,566.31
  4. Step 4: Simplify right side
    2,298.55x = 5,400,386.27
  5. Step 5: Solve for x
    x = 5,400,386.27/2,298.55
  6. Step 6: Final answer
    x = 2,349.48

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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.