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Finding the Fourth Proportional to 2,385.84, 3,564.45 and 2,304

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Solution

The fourth proportional to 2,385.84, 3,564.45 and 2,304 is: 3,442.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.84 : 3,564.45 = 2,304 : x
  2. Step 2: Convert to fraction form
    2,385.84/3,564.45 = 2,304/x
  3. Step 3: Cross multiply
    2,385.84x = 3,564.45 × 2,304
  4. Step 4: Simplify right side
    2,385.84x = 8,212,492.80
  5. Step 5: Solve for x
    x = 8,212,492.80/2,385.84
  6. Step 6: Final answer
    x = 3,442.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.