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Finding the Fourth Proportional to 3,145, 4,340.20 and 1,748.02

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Solution

The fourth proportional to 3,145, 4,340.20 and 1,748.02 is: 2,412.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145 : 4,340.20 = 1,748.02 : x
  2. Step 2: Convert to fraction form
    3,145/4,340.20 = 1,748.02/x
  3. Step 3: Cross multiply
    3,145x = 4,340.20 × 1,748.02
  4. Step 4: Simplify right side
    3,145x = 7,586,756.40
  5. Step 5: Solve for x
    x = 7,586,756.40/3,145
  6. Step 6: Final answer
    x = 2,412.32

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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.