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Finding the Fourth Proportional to 2,337.90, 3,507.24 and 877.02

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Solution

The fourth proportional to 2,337.90, 3,507.24 and 877.02 is: 1,315.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.90 : 3,507.24 = 877.02 : x
  2. Step 2: Convert to fraction form
    2,337.90/3,507.24 = 877.02/x
  3. Step 3: Cross multiply
    2,337.90x = 3,507.24 × 877.02
  4. Step 4: Simplify right side
    2,337.90x = 3,075,919.62
  5. Step 5: Solve for x
    x = 3,075,919.62/2,337.90
  6. Step 6: Final answer
    x = 1,315.68

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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.