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Finding the Fourth Proportional to 3,031.80, 4,547.94 and 840.36

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Solution

The fourth proportional to 3,031.80, 4,547.94 and 840.36 is: 1,260.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031.80 : 4,547.94 = 840.36 : x
  2. Step 2: Convert to fraction form
    3,031.80/4,547.94 = 840.36/x
  3. Step 3: Cross multiply
    3,031.80x = 4,547.94 × 840.36
  4. Step 4: Simplify right side
    3,031.80x = 3,821,906.86
  5. Step 5: Solve for x
    x = 3,821,906.86/3,031.80
  6. Step 6: Final answer
    x = 1,260.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.