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Finding the Fourth Proportional to 2,166.08, 2,989.47 and 1,570.49

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Solution

The fourth proportional to 2,166.08, 2,989.47 and 1,570.49 is: 2,167.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.08 : 2,989.47 = 1,570.49 : x
  2. Step 2: Convert to fraction form
    2,166.08/2,989.47 = 1,570.49/x
  3. Step 3: Cross multiply
    2,166.08x = 2,989.47 × 1,570.49
  4. Step 4: Simplify right side
    2,166.08x = 4,694,934.89
  5. Step 5: Solve for x
    x = 4,694,934.89/2,166.08
  6. Step 6: Final answer
    x = 2,167.48

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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.