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Finding the Fourth Proportional to 2,295.84, 3,444.36 and 978.93

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Solution

The fourth proportional to 2,295.84, 3,444.36 and 978.93 is: 1,468.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.84 : 3,444.36 = 978.93 : x
  2. Step 2: Convert to fraction form
    2,295.84/3,444.36 = 978.93/x
  3. Step 3: Cross multiply
    2,295.84x = 3,444.36 × 978.93
  4. Step 4: Simplify right side
    2,295.84x = 3,371,787.33
  5. Step 5: Solve for x
    x = 3,371,787.33/2,295.84
  6. Step 6: Final answer
    x = 1,468.65

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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.