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Finding the Fourth Proportional to 2,888.44, 4,332.63 and 697.15

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Solution

The fourth proportional to 2,888.44, 4,332.63 and 697.15 is: 1,045.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,888.44 : 4,332.63 = 697.15 : x
  2. Step 2: Convert to fraction form
    2,888.44/4,332.63 = 697.15/x
  3. Step 3: Cross multiply
    2,888.44x = 4,332.63 × 697.15
  4. Step 4: Simplify right side
    2,888.44x = 3,020,493.00
  5. Step 5: Solve for x
    x = 3,020,493.00/2,888.44
  6. Step 6: Final answer
    x = 1,045.72

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Why These Related Problems?

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