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Finding the Fourth Proportional to 2,057.84, 2,840.13 and 1,559.66

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Solution

The fourth proportional to 2,057.84, 2,840.13 and 1,559.66 is: 2,152.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.84 : 2,840.13 = 1,559.66 : x
  2. Step 2: Convert to fraction form
    2,057.84/2,840.13 = 1,559.66/x
  3. Step 3: Cross multiply
    2,057.84x = 2,840.13 × 1,559.66
  4. Step 4: Simplify right side
    2,057.84x = 4,429,622.96
  5. Step 5: Solve for x
    x = 4,429,622.96/2,057.84
  6. Step 6: Final answer
    x = 2,152.56

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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.