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Finding the Fourth Proportional to 1,569.58, 2,165.91 and 906.31

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Solution

The fourth proportional to 1,569.58, 2,165.91 and 906.31 is: 1,250.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.58 : 2,165.91 = 906.31 : x
  2. Step 2: Convert to fraction form
    1,569.58/2,165.91 = 906.31/x
  3. Step 3: Cross multiply
    1,569.58x = 2,165.91 × 906.31
  4. Step 4: Simplify right side
    1,569.58x = 1,962,985.89
  5. Step 5: Solve for x
    x = 1,962,985.89/1,569.58
  6. Step 6: Final answer
    x = 1,250.64

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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.