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Finding the Fourth Proportional to 1,649.32, 2,473.34 and 609.16

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Solution

The fourth proportional to 1,649.32, 2,473.34 and 609.16 is: 913.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.32 : 2,473.34 = 609.16 : x
  2. Step 2: Convert to fraction form
    1,649.32/2,473.34 = 609.16/x
  3. Step 3: Cross multiply
    1,649.32x = 2,473.34 × 609.16
  4. Step 4: Simplify right side
    1,649.32x = 1,506,659.79
  5. Step 5: Solve for x
    x = 1,506,659.79/1,649.32
  6. Step 6: Final answer
    x = 913.50

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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.