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Finding the Fourth Proportional to 2,295.84, 3,442.95 and 651.90

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Solution

The fourth proportional to 2,295.84, 3,442.95 and 651.90 is: 977.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.84 : 3,442.95 = 651.90 : x
  2. Step 2: Convert to fraction form
    2,295.84/3,442.95 = 651.90/x
  3. Step 3: Cross multiply
    2,295.84x = 3,442.95 × 651.90
  4. Step 4: Simplify right side
    2,295.84x = 2,244,459.11
  5. Step 5: Solve for x
    x = 2,244,459.11/2,295.84
  6. Step 6: Final answer
    x = 977.62

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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.