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Finding the Fourth Proportional to 2,113.70, 3,158.32 and 1,525.91

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Solution

The fourth proportional to 2,113.70, 3,158.32 and 1,525.91 is: 2,280.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.70 : 3,158.32 = 1,525.91 : x
  2. Step 2: Convert to fraction form
    2,113.70/3,158.32 = 1,525.91/x
  3. Step 3: Cross multiply
    2,113.70x = 3,158.32 × 1,525.91
  4. Step 4: Simplify right side
    2,113.70x = 4,819,312.07
  5. Step 5: Solve for x
    x = 4,819,312.07/2,113.70
  6. Step 6: Final answer
    x = 2,280.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.