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Finding the Fourth Proportional to 1,750.54, 2,415.79 and 1,004.63

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Solution

The fourth proportional to 1,750.54, 2,415.79 and 1,004.63 is: 1,386.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,750.54 : 2,415.79 = 1,004.63 : x
  2. Step 2: Convert to fraction form
    1,750.54/2,415.79 = 1,004.63/x
  3. Step 3: Cross multiply
    1,750.54x = 2,415.79 × 1,004.63
  4. Step 4: Simplify right side
    1,750.54x = 2,426,971.08
  5. Step 5: Solve for x
    x = 2,426,971.08/1,750.54
  6. Step 6: Final answer
    x = 1,386.42

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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.