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Finding the Fourth Proportional to 3,294.94, 4,547.12 and 1,802.83

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Solution

The fourth proportional to 3,294.94, 4,547.12 and 1,802.83 is: 2,487.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.94 : 4,547.12 = 1,802.83 : x
  2. Step 2: Convert to fraction form
    3,294.94/4,547.12 = 1,802.83/x
  3. Step 3: Cross multiply
    3,294.94x = 4,547.12 × 1,802.83
  4. Step 4: Simplify right side
    3,294.94x = 8,197,684.35
  5. Step 5: Solve for x
    x = 8,197,684.35/3,294.94
  6. Step 6: Final answer
    x = 2,487.96

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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.