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Finding the Fourth Proportional to 2,671.07, 3,686.07 and 1,492.14

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Solution

The fourth proportional to 2,671.07, 3,686.07 and 1,492.14 is: 2,059.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.07 : 3,686.07 = 1,492.14 : x
  2. Step 2: Convert to fraction form
    2,671.07/3,686.07 = 1,492.14/x
  3. Step 3: Cross multiply
    2,671.07x = 3,686.07 × 1,492.14
  4. Step 4: Simplify right side
    2,671.07x = 5,500,132.49
  5. Step 5: Solve for x
    x = 5,500,132.49/2,671.07
  6. Step 6: Final answer
    x = 2,059.15

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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.