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Finding the Fourth Proportional to 2,296.88, 3,444.85 and 652.98

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Solution

The fourth proportional to 2,296.88, 3,444.85 and 652.98 is: 979.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.88 : 3,444.85 = 652.98 : x
  2. Step 2: Convert to fraction form
    2,296.88/3,444.85 = 652.98/x
  3. Step 3: Cross multiply
    2,296.88x = 3,444.85 × 652.98
  4. Step 4: Simplify right side
    2,296.88x = 2,249,418.53
  5. Step 5: Solve for x
    x = 2,249,418.53/2,296.88
  6. Step 6: Final answer
    x = 979.34

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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.