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Finding the Fourth Proportional to 1,942.77, 2,681.04 and 1,156.85

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Solution

The fourth proportional to 1,942.77, 2,681.04 and 1,156.85 is: 1,596.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.77 : 2,681.04 = 1,156.85 : x
  2. Step 2: Convert to fraction form
    1,942.77/2,681.04 = 1,156.85/x
  3. Step 3: Cross multiply
    1,942.77x = 2,681.04 × 1,156.85
  4. Step 4: Simplify right side
    1,942.77x = 3,101,547.72
  5. Step 5: Solve for x
    x = 3,101,547.72/1,942.77
  6. Step 6: Final answer
    x = 1,596.46

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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.