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Finding the Fourth Proportional to 1,707, 2,353.50 and 1,264.16

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Solution

The fourth proportional to 1,707, 2,353.50 and 1,264.16 is: 1,742.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707 : 2,353.50 = 1,264.16 : x
  2. Step 2: Convert to fraction form
    1,707/2,353.50 = 1,264.16/x
  3. Step 3: Cross multiply
    1,707x = 2,353.50 × 1,264.16
  4. Step 4: Simplify right side
    1,707x = 2,975,200.56
  5. Step 5: Solve for x
    x = 2,975,200.56/1,707
  6. Step 6: Final answer
    x = 1,742.94

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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.