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Finding the Fourth Proportional to 3,294.85, 4,547.03 and 1,802.90

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Solution

The fourth proportional to 3,294.85, 4,547.03 and 1,802.90 is: 2,488.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.85 : 4,547.03 = 1,802.90 : x
  2. Step 2: Convert to fraction form
    3,294.85/4,547.03 = 1,802.90/x
  3. Step 3: Cross multiply
    3,294.85x = 4,547.03 × 1,802.90
  4. Step 4: Simplify right side
    3,294.85x = 8,197,808.64
  5. Step 5: Solve for x
    x = 8,197,808.64/3,294.85
  6. Step 6: Final answer
    x = 2,488.07

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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.