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Finding the Fourth Proportional to 2,137.48, 2,950.02 and 1,298.20

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Solution

The fourth proportional to 2,137.48, 2,950.02 and 1,298.20 is: 1,791.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.48 : 2,950.02 = 1,298.20 : x
  2. Step 2: Convert to fraction form
    2,137.48/2,950.02 = 1,298.20/x
  3. Step 3: Cross multiply
    2,137.48x = 2,950.02 × 1,298.20
  4. Step 4: Simplify right side
    2,137.48x = 3,829,715.96
  5. Step 5: Solve for x
    x = 3,829,715.96/2,137.48
  6. Step 6: Final answer
    x = 1,791.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.