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Finding the Fourth Proportional to 2,038.66, 3,058.00 and 652.01

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Solution

The fourth proportional to 2,038.66, 3,058.00 and 652.01 is: 978.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.66 : 3,058.00 = 652.01 : x
  2. Step 2: Convert to fraction form
    2,038.66/3,058.00 = 652.01/x
  3. Step 3: Cross multiply
    2,038.66x = 3,058.00 × 652.01
  4. Step 4: Simplify right side
    2,038.66x = 1,993,829.66
  5. Step 5: Solve for x
    x = 1,993,829.66/2,038.66
  6. Step 6: Final answer
    x = 978.01

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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.