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Finding the Fourth Proportional to 2,435.39, 3,652.67 and 875.18

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Solution

The fourth proportional to 2,435.39, 3,652.67 and 875.18 is: 1,312.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,435.39 : 3,652.67 = 875.18 : x
  2. Step 2: Convert to fraction form
    2,435.39/3,652.67 = 875.18/x
  3. Step 3: Cross multiply
    2,435.39x = 3,652.67 × 875.18
  4. Step 4: Simplify right side
    2,435.39x = 3,196,742.32
  5. Step 5: Solve for x
    x = 3,196,742.32/2,435.39
  6. Step 6: Final answer
    x = 1,312.62

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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.