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Finding the Fourth Proportional to 1,750.14, 2,415.13 and 1,004.06

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Solution

The fourth proportional to 1,750.14, 2,415.13 and 1,004.06 is: 1,385.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,750.14 : 2,415.13 = 1,004.06 : x
  2. Step 2: Convert to fraction form
    1,750.14/2,415.13 = 1,004.06/x
  3. Step 3: Cross multiply
    1,750.14x = 2,415.13 × 1,004.06
  4. Step 4: Simplify right side
    1,750.14x = 2,424,920.84
  5. Step 5: Solve for x
    x = 2,424,920.84/1,750.14
  6. Step 6: Final answer
    x = 1,385.56

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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.