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Finding the Fourth Proportional to 2,376.42, 3,560.36 and 1,402

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Solution

The fourth proportional to 2,376.42, 3,560.36 and 1,402 is: 2,100.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.42 : 3,560.36 = 1,402 : x
  2. Step 2: Convert to fraction form
    2,376.42/3,560.36 = 1,402/x
  3. Step 3: Cross multiply
    2,376.42x = 3,560.36 × 1,402
  4. Step 4: Simplify right side
    2,376.42x = 4,991,624.72
  5. Step 5: Solve for x
    x = 4,991,624.72/2,376.42
  6. Step 6: Final answer
    x = 2,100.48

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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.