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Finding the Fourth Proportional to 2,337.42, 3,505.04 and 875.64

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Solution

The fourth proportional to 2,337.42, 3,505.04 and 875.64 is: 1,313.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.42 : 3,505.04 = 875.64 : x
  2. Step 2: Convert to fraction form
    2,337.42/3,505.04 = 875.64/x
  3. Step 3: Cross multiply
    2,337.42x = 3,505.04 × 875.64
  4. Step 4: Simplify right side
    2,337.42x = 3,069,153.23
  5. Step 5: Solve for x
    x = 3,069,153.23/2,337.42
  6. Step 6: Final answer
    x = 1,313.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.