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Finding the Fourth Proportional to 3,032.16, 4,548.08 and 980

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Solution

The fourth proportional to 3,032.16, 4,548.08 and 980 is: 1,469.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,032.16 : 4,548.08 = 980 : x
  2. Step 2: Convert to fraction form
    3,032.16/4,548.08 = 980/x
  3. Step 3: Cross multiply
    3,032.16x = 4,548.08 × 980
  4. Step 4: Simplify right side
    3,032.16x = 4,457,118.40
  5. Step 5: Solve for x
    x = 4,457,118.40/3,032.16
  6. Step 6: Final answer
    x = 1,469.95

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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.