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Finding the Fourth Proportional to 3,031.08, 4,547.13 and 950.67

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Solution

The fourth proportional to 3,031.08, 4,547.13 and 950.67 is: 1,426.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031.08 : 4,547.13 = 950.67 : x
  2. Step 2: Convert to fraction form
    3,031.08/4,547.13 = 950.67/x
  3. Step 3: Cross multiply
    3,031.08x = 4,547.13 × 950.67
  4. Step 4: Simplify right side
    3,031.08x = 4,322,820.08
  5. Step 5: Solve for x
    x = 4,322,820.08/3,031.08
  6. Step 6: Final answer
    x = 1,426.16

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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.