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Finding the Fourth Proportional to 1,341.62, 1,851.57 and 875.06

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Solution

The fourth proportional to 1,341.62, 1,851.57 and 875.06 is: 1,207.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.62 : 1,851.57 = 875.06 : x
  2. Step 2: Convert to fraction form
    1,341.62/1,851.57 = 875.06/x
  3. Step 3: Cross multiply
    1,341.62x = 1,851.57 × 875.06
  4. Step 4: Simplify right side
    1,341.62x = 1,620,234.84
  5. Step 5: Solve for x
    x = 1,620,234.84/1,341.62
  6. Step 6: Final answer
    x = 1,207.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.