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Finding the Fourth Proportional to 2,437.09, 3,655.60 and 876.83

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Solution

The fourth proportional to 2,437.09, 3,655.60 and 876.83 is: 1,315.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,437.09 : 3,655.60 = 876.83 : x
  2. Step 2: Convert to fraction form
    2,437.09/3,655.60 = 876.83/x
  3. Step 3: Cross multiply
    2,437.09x = 3,655.60 × 876.83
  4. Step 4: Simplify right side
    2,437.09x = 3,205,319.28
  5. Step 5: Solve for x
    x = 3,205,319.28/2,437.09
  6. Step 6: Final answer
    x = 1,315.23

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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.