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Finding the Fourth Proportional to 2,407.50, 3,604.77 and 1,710.54

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Solution

The fourth proportional to 2,407.50, 3,604.77 and 1,710.54 is: 2,561.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.50 : 3,604.77 = 1,710.54 : x
  2. Step 2: Convert to fraction form
    2,407.50/3,604.77 = 1,710.54/x
  3. Step 3: Cross multiply
    2,407.50x = 3,604.77 × 1,710.54
  4. Step 4: Simplify right side
    2,407.50x = 6,166,103.28
  5. Step 5: Solve for x
    x = 6,166,103.28/2,407.50
  6. Step 6: Final answer
    x = 2,561.21

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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.