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Finding the Fourth Proportional to 2,597.79, 3,896.70 and 1,037.10

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Solution

The fourth proportional to 2,597.79, 3,896.70 and 1,037.10 is: 1,555.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.79 : 3,896.70 = 1,037.10 : x
  2. Step 2: Convert to fraction form
    2,597.79/3,896.70 = 1,037.10/x
  3. Step 3: Cross multiply
    2,597.79x = 3,896.70 × 1,037.10
  4. Step 4: Simplify right side
    2,597.79x = 4,041,267.57
  5. Step 5: Solve for x
    x = 4,041,267.57/2,597.79
  6. Step 6: Final answer
    x = 1,555.66

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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.