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Finding the Fourth Proportional to 2,296.84, 3,444.45 and 652.90

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Solution

The fourth proportional to 2,296.84, 3,444.45 and 652.90 is: 979.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.84 : 3,444.45 = 652.90 : x
  2. Step 2: Convert to fraction form
    2,296.84/3,444.45 = 652.90/x
  3. Step 3: Cross multiply
    2,296.84x = 3,444.45 × 652.90
  4. Step 4: Simplify right side
    2,296.84x = 2,248,881.41
  5. Step 5: Solve for x
    x = 2,248,881.41/2,296.84
  6. Step 6: Final answer
    x = 979.12

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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.