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Finding the Fourth Proportional to 3,294.29, 4,546.02 and 1,802.16

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Solution

The fourth proportional to 3,294.29, 4,546.02 and 1,802.16 is: 2,486.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.29 : 4,546.02 = 1,802.16 : x
  2. Step 2: Convert to fraction form
    3,294.29/4,546.02 = 1,802.16/x
  3. Step 3: Cross multiply
    3,294.29x = 4,546.02 × 1,802.16
  4. Step 4: Simplify right side
    3,294.29x = 8,192,655.40
  5. Step 5: Solve for x
    x = 8,192,655.40/3,294.29
  6. Step 6: Final answer
    x = 2,486.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.