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Finding the Fourth Proportional to 2,329.74, 3,494.58 and 574.77

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Solution

The fourth proportional to 2,329.74, 3,494.58 and 574.77 is: 862.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.74 : 3,494.58 = 574.77 : x
  2. Step 2: Convert to fraction form
    2,329.74/3,494.58 = 574.77/x
  3. Step 3: Cross multiply
    2,329.74x = 3,494.58 × 574.77
  4. Step 4: Simplify right side
    2,329.74x = 2,008,559.40
  5. Step 5: Solve for x
    x = 2,008,559.40/2,329.74
  6. Step 6: Final answer
    x = 862.14

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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.