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Finding the Fourth Proportional to 1,798.00, 2,480.76 and 1,052.15

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Solution

The fourth proportional to 1,798.00, 2,480.76 and 1,052.15 is: 1,451.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798.00 : 2,480.76 = 1,052.15 : x
  2. Step 2: Convert to fraction form
    1,798.00/2,480.76 = 1,052.15/x
  3. Step 3: Cross multiply
    1,798.00x = 2,480.76 × 1,052.15
  4. Step 4: Simplify right side
    1,798.00x = 2,610,119.23
  5. Step 5: Solve for x
    x = 2,610,119.23/1,798.00
  6. Step 6: Final answer
    x = 1,451.68

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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.