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Finding the Fourth Proportional to 2,570.79, 3,856.14 and 622.98

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Solution

The fourth proportional to 2,570.79, 3,856.14 and 622.98 is: 934.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.79 : 3,856.14 = 622.98 : x
  2. Step 2: Convert to fraction form
    2,570.79/3,856.14 = 622.98/x
  3. Step 3: Cross multiply
    2,570.79x = 3,856.14 × 622.98
  4. Step 4: Simplify right side
    2,570.79x = 2,402,298.10
  5. Step 5: Solve for x
    x = 2,402,298.10/2,570.79
  6. Step 6: Final answer
    x = 934.46

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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.