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Finding the Fourth Proportional to 2,038.61, 3,057.98 and 652.14

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Solution

The fourth proportional to 2,038.61, 3,057.98 and 652.14 is: 978.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.61 : 3,057.98 = 652.14 : x
  2. Step 2: Convert to fraction form
    2,038.61/3,057.98 = 652.14/x
  3. Step 3: Cross multiply
    2,038.61x = 3,057.98 × 652.14
  4. Step 4: Simplify right side
    2,038.61x = 1,994,227.82
  5. Step 5: Solve for x
    x = 1,994,227.82/2,038.61
  6. Step 6: Final answer
    x = 978.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.