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Finding the Fourth Proportional to 3,162.90, 4,746.04 and 1,315.29

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Solution

The fourth proportional to 3,162.90, 4,746.04 and 1,315.29 is: 1,973.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.90 : 4,746.04 = 1,315.29 : x
  2. Step 2: Convert to fraction form
    3,162.90/4,746.04 = 1,315.29/x
  3. Step 3: Cross multiply
    3,162.90x = 4,746.04 × 1,315.29
  4. Step 4: Simplify right side
    3,162.90x = 6,242,414.16
  5. Step 5: Solve for x
    x = 6,242,414.16/3,162.90
  6. Step 6: Final answer
    x = 1,973.64

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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.