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Finding the Fourth Proportional to 2,057.46, 2,840.22 and 1,430.10

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Solution

The fourth proportional to 2,057.46, 2,840.22 and 1,430.10 is: 1,974.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.46 : 2,840.22 = 1,430.10 : x
  2. Step 2: Convert to fraction form
    2,057.46/2,840.22 = 1,430.10/x
  3. Step 3: Cross multiply
    2,057.46x = 2,840.22 × 1,430.10
  4. Step 4: Simplify right side
    2,057.46x = 4,061,798.62
  5. Step 5: Solve for x
    x = 4,061,798.62/2,057.46
  6. Step 6: Final answer
    x = 1,974.18

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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.