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Finding the Fourth Proportional to 1,701.78, 2,348.43 and 1,003.14

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Solution

The fourth proportional to 1,701.78, 2,348.43 and 1,003.14 is: 1,384.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.78 : 2,348.43 = 1,003.14 : x
  2. Step 2: Convert to fraction form
    1,701.78/2,348.43 = 1,003.14/x
  3. Step 3: Cross multiply
    1,701.78x = 2,348.43 × 1,003.14
  4. Step 4: Simplify right side
    1,701.78x = 2,355,804.07
  5. Step 5: Solve for x
    x = 2,355,804.07/1,701.78
  6. Step 6: Final answer
    x = 1,384.32

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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.