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Finding the Fourth Proportional to 2,337.66, 3,506.56 and 582.66

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Solution

The fourth proportional to 2,337.66, 3,506.56 and 582.66 is: 874.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.66 : 3,506.56 = 582.66 : x
  2. Step 2: Convert to fraction form
    2,337.66/3,506.56 = 582.66/x
  3. Step 3: Cross multiply
    2,337.66x = 3,506.56 × 582.66
  4. Step 4: Simplify right side
    2,337.66x = 2,043,130.79
  5. Step 5: Solve for x
    x = 2,043,130.79/2,337.66
  6. Step 6: Final answer
    x = 874.01

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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.