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Finding the Fourth Proportional to 2,139.34, 2,952.30 and 1,230.99

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Solution

The fourth proportional to 2,139.34, 2,952.30 and 1,230.99 is: 1,698.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.34 : 2,952.30 = 1,230.99 : x
  2. Step 2: Convert to fraction form
    2,139.34/2,952.30 = 1,230.99/x
  3. Step 3: Cross multiply
    2,139.34x = 2,952.30 × 1,230.99
  4. Step 4: Simplify right side
    2,139.34x = 3,634,237.02
  5. Step 5: Solve for x
    x = 3,634,237.02/2,139.34
  6. Step 6: Final answer
    x = 1,698.77

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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.