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Finding the Fourth Proportional to 2,437.67, 3,656.55 and 976.70

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Solution

The fourth proportional to 2,437.67, 3,656.55 and 976.70 is: 1,465.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,437.67 : 3,656.55 = 976.70 : x
  2. Step 2: Convert to fraction form
    2,437.67/3,656.55 = 976.70/x
  3. Step 3: Cross multiply
    2,437.67x = 3,656.55 × 976.70
  4. Step 4: Simplify right side
    2,437.67x = 3,571,352.39
  5. Step 5: Solve for x
    x = 3,571,352.39/2,437.67
  6. Step 6: Final answer
    x = 1,465.07

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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.