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Finding the Fourth Proportional to 1,569.48, 2,165.73 and 906.55

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Solution

The fourth proportional to 1,569.48, 2,165.73 and 906.55 is: 1,250.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.48 : 2,165.73 = 906.55 : x
  2. Step 2: Convert to fraction form
    1,569.48/2,165.73 = 906.55/x
  3. Step 3: Cross multiply
    1,569.48x = 2,165.73 × 906.55
  4. Step 4: Simplify right side
    1,569.48x = 1,963,333.72
  5. Step 5: Solve for x
    x = 1,963,333.72/1,569.48
  6. Step 6: Final answer
    x = 1,250.94

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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.