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Finding the Fourth Proportional to 2,014.92, 2,780.63 and 1,130.78

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Solution

The fourth proportional to 2,014.92, 2,780.63 and 1,130.78 is: 1,560.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.92 : 2,780.63 = 1,130.78 : x
  2. Step 2: Convert to fraction form
    2,014.92/2,780.63 = 1,130.78/x
  3. Step 3: Cross multiply
    2,014.92x = 2,780.63 × 1,130.78
  4. Step 4: Simplify right side
    2,014.92x = 3,144,275.14
  5. Step 5: Solve for x
    x = 3,144,275.14/2,014.92
  6. Step 6: Final answer
    x = 1,560.50

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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.