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Finding the Fourth Proportional to 1,457.92, 2,184.24 and 909.84

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Solution

The fourth proportional to 1,457.92, 2,184.24 and 909.84 is: 1,363.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.92 : 2,184.24 = 909.84 : x
  2. Step 2: Convert to fraction form
    1,457.92/2,184.24 = 909.84/x
  3. Step 3: Cross multiply
    1,457.92x = 2,184.24 × 909.84
  4. Step 4: Simplify right side
    1,457.92x = 1,987,308.92
  5. Step 5: Solve for x
    x = 1,987,308.92/1,457.92
  6. Step 6: Final answer
    x = 1,363.11

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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.