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Finding the Fourth Proportional to 3,167.16, 4,746.52 and 1,779.81

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Solution

The fourth proportional to 3,167.16, 4,746.52 and 1,779.81 is: 2,667.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.16 : 4,746.52 = 1,779.81 : x
  2. Step 2: Convert to fraction form
    3,167.16/4,746.52 = 1,779.81/x
  3. Step 3: Cross multiply
    3,167.16x = 4,746.52 × 1,779.81
  4. Step 4: Simplify right side
    3,167.16x = 8,447,903.76
  5. Step 5: Solve for x
    x = 8,447,903.76/3,167.16
  6. Step 6: Final answer
    x = 2,667.34

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Why These Related Problems?

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