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Finding the Fourth Proportional to 1,522.10, 2,280.32 and 870.86

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Solution

The fourth proportional to 1,522.10, 2,280.32 and 870.86 is: 1,304.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.10 : 2,280.32 = 870.86 : x
  2. Step 2: Convert to fraction form
    1,522.10/2,280.32 = 870.86/x
  3. Step 3: Cross multiply
    1,522.10x = 2,280.32 × 870.86
  4. Step 4: Simplify right side
    1,522.10x = 1,985,839.48
  5. Step 5: Solve for x
    x = 1,985,839.48/1,522.10
  6. Step 6: Final answer
    x = 1,304.67

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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.