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Finding the Fourth Proportional to 3,032.03, 4,548.23 and 840.71

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Solution

The fourth proportional to 3,032.03, 4,548.23 and 840.71 is: 1,261.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,032.03 : 4,548.23 = 840.71 : x
  2. Step 2: Convert to fraction form
    3,032.03/4,548.23 = 840.71/x
  3. Step 3: Cross multiply
    3,032.03x = 4,548.23 × 840.71
  4. Step 4: Simplify right side
    3,032.03x = 3,823,715.50
  5. Step 5: Solve for x
    x = 3,823,715.50/3,032.03
  6. Step 6: Final answer
    x = 1,261.11

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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.