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Finding the Fourth Proportional to 2,152.10, 2,970.18 and 1,267.89

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Solution

The fourth proportional to 2,152.10, 2,970.18 and 1,267.89 is: 1,749.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.10 : 2,970.18 = 1,267.89 : x
  2. Step 2: Convert to fraction form
    2,152.10/2,970.18 = 1,267.89/x
  3. Step 3: Cross multiply
    2,152.10x = 2,970.18 × 1,267.89
  4. Step 4: Simplify right side
    2,152.10x = 3,765,861.52
  5. Step 5: Solve for x
    x = 3,765,861.52/2,152.10
  6. Step 6: Final answer
    x = 1,749.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.