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Finding the Fourth Proportional to 2,137.47, 2,949.89 and 1,570.52

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Solution

The fourth proportional to 2,137.47, 2,949.89 and 1,570.52 is: 2,167.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.47 : 2,949.89 = 1,570.52 : x
  2. Step 2: Convert to fraction form
    2,137.47/2,949.89 = 1,570.52/x
  3. Step 3: Cross multiply
    2,137.47x = 2,949.89 × 1,570.52
  4. Step 4: Simplify right side
    2,137.47x = 4,632,861.24
  5. Step 5: Solve for x
    x = 4,632,861.24/2,137.47
  6. Step 6: Final answer
    x = 2,167.45

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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.