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Finding the Fourth Proportional to 1,710.44, 2,360.43 and 1,038.14

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Solution

The fourth proportional to 1,710.44, 2,360.43 and 1,038.14 is: 1,432.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.44 : 2,360.43 = 1,038.14 : x
  2. Step 2: Convert to fraction form
    1,710.44/2,360.43 = 1,038.14/x
  3. Step 3: Cross multiply
    1,710.44x = 2,360.43 × 1,038.14
  4. Step 4: Simplify right side
    1,710.44x = 2,450,456.80
  5. Step 5: Solve for x
    x = 2,450,456.80/1,710.44
  6. Step 6: Final answer
    x = 1,432.65

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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.