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Finding the Fourth Proportional to 1,710.39, 2,360.67 and 1,002.39

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Solution

The fourth proportional to 1,710.39, 2,360.67 and 1,002.39 is: 1,383.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.39 : 2,360.67 = 1,002.39 : x
  2. Step 2: Convert to fraction form
    1,710.39/2,360.67 = 1,002.39/x
  3. Step 3: Cross multiply
    1,710.39x = 2,360.67 × 1,002.39
  4. Step 4: Simplify right side
    1,710.39x = 2,366,312.00
  5. Step 5: Solve for x
    x = 2,366,312.00/1,710.39
  6. Step 6: Final answer
    x = 1,383.49

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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.