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Finding the Fourth Proportional to 2,058.62, 3,085.68 and 825.68

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Solution

The fourth proportional to 2,058.62, 3,085.68 and 825.68 is: 1,237.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.62 : 3,085.68 = 825.68 : x
  2. Step 2: Convert to fraction form
    2,058.62/3,085.68 = 825.68/x
  3. Step 3: Cross multiply
    2,058.62x = 3,085.68 × 825.68
  4. Step 4: Simplify right side
    2,058.62x = 2,547,784.26
  5. Step 5: Solve for x
    x = 2,547,784.26/2,058.62
  6. Step 6: Final answer
    x = 1,237.62

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1.5x scale

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.