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Finding the Fourth Proportional to 2,571.64, 3,862.16 and 2,354.76

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Solution

The fourth proportional to 2,571.64, 3,862.16 and 2,354.76 is: 3,536.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.64 : 3,862.16 = 2,354.76 : x
  2. Step 2: Convert to fraction form
    2,571.64/3,862.16 = 2,354.76/x
  3. Step 3: Cross multiply
    2,571.64x = 3,862.16 × 2,354.76
  4. Step 4: Simplify right side
    2,571.64x = 9,094,465.77
  5. Step 5: Solve for x
    x = 9,094,465.77/2,571.64
  6. Step 6: Final answer
    x = 3,536.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.