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Finding the Fourth Proportional to 3,031.96, 4,547.14 and 840.12

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Solution

The fourth proportional to 3,031.96, 4,547.14 and 840.12 is: 1,259.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031.96 : 4,547.14 = 840.12 : x
  2. Step 2: Convert to fraction form
    3,031.96/4,547.14 = 840.12/x
  3. Step 3: Cross multiply
    3,031.96x = 4,547.14 × 840.12
  4. Step 4: Simplify right side
    3,031.96x = 3,820,143.26
  5. Step 5: Solve for x
    x = 3,820,143.26/3,031.96
  6. Step 6: Final answer
    x = 1,259.96

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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.