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Finding the Fourth Proportional to 1,569.03, 2,165.37 and 905.87

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Solution

The fourth proportional to 1,569.03, 2,165.37 and 905.87 is: 1,250.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.03 : 2,165.37 = 905.87 : x
  2. Step 2: Convert to fraction form
    1,569.03/2,165.37 = 905.87/x
  3. Step 3: Cross multiply
    1,569.03x = 2,165.37 × 905.87
  4. Step 4: Simplify right side
    1,569.03x = 1,961,543.72
  5. Step 5: Solve for x
    x = 1,961,543.72/1,569.03
  6. Step 6: Final answer
    x = 1,250.16

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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.