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Finding the Fourth Proportional to 1,036.88, 1,542.46 and 1,026.44

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Solution

The fourth proportional to 1,036.88, 1,542.46 and 1,026.44 is: 1,526.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.88 : 1,542.46 = 1,026.44 : x
  2. Step 2: Convert to fraction form
    1,036.88/1,542.46 = 1,026.44/x
  3. Step 3: Cross multiply
    1,036.88x = 1,542.46 × 1,026.44
  4. Step 4: Simplify right side
    1,036.88x = 1,583,242.64
  5. Step 5: Solve for x
    x = 1,583,242.64/1,036.88
  6. Step 6: Final answer
    x = 1,526.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.