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Finding the Fourth Proportional to 2,888.31, 4,332.49 and 697.06

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Solution

The fourth proportional to 2,888.31, 4,332.49 and 697.06 is: 1,045.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,888.31 : 4,332.49 = 697.06 : x
  2. Step 2: Convert to fraction form
    2,888.31/4,332.49 = 697.06/x
  3. Step 3: Cross multiply
    2,888.31x = 4,332.49 × 697.06
  4. Step 4: Simplify right side
    2,888.31x = 3,019,984.78
  5. Step 5: Solve for x
    x = 3,019,984.78/2,888.31
  6. Step 6: Final answer
    x = 1,045.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.