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Finding the Fourth Proportional to 3,117.34, 4,302.08 and 1,720.08

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Solution

The fourth proportional to 3,117.34, 4,302.08 and 1,720.08 is: 2,373.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.34 : 4,302.08 = 1,720.08 : x
  2. Step 2: Convert to fraction form
    3,117.34/4,302.08 = 1,720.08/x
  3. Step 3: Cross multiply
    3,117.34x = 4,302.08 × 1,720.08
  4. Step 4: Simplify right side
    3,117.34x = 7,399,921.77
  5. Step 5: Solve for x
    x = 7,399,921.77/3,117.34
  6. Step 6: Final answer
    x = 2,373.79

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1.5x scale

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.