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Finding the Fourth Proportional to 2,038.70, 3,058.15 and 1,066.70

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Solution

The fourth proportional to 2,038.70, 3,058.15 and 1,066.70 is: 1,600.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.70 : 3,058.15 = 1,066.70 : x
  2. Step 2: Convert to fraction form
    2,038.70/3,058.15 = 1,066.70/x
  3. Step 3: Cross multiply
    2,038.70x = 3,058.15 × 1,066.70
  4. Step 4: Simplify right side
    2,038.70x = 3,262,128.61
  5. Step 5: Solve for x
    x = 3,262,128.61/2,038.70
  6. Step 6: Final answer
    x = 1,600.10

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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.