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Finding the Fourth Proportional to 2,326.08, 3,489.24 and 594.72

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Solution

The fourth proportional to 2,326.08, 3,489.24 and 594.72 is: 892.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.08 : 3,489.24 = 594.72 : x
  2. Step 2: Convert to fraction form
    2,326.08/3,489.24 = 594.72/x
  3. Step 3: Cross multiply
    2,326.08x = 3,489.24 × 594.72
  4. Step 4: Simplify right side
    2,326.08x = 2,075,120.81
  5. Step 5: Solve for x
    x = 2,075,120.81/2,326.08
  6. Step 6: Final answer
    x = 892.11

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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.