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Finding the Fourth Proportional to 2,058.51, 3,087.77 and 598.69

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Solution

The fourth proportional to 2,058.51, 3,087.77 and 598.69 is: 898.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.51 : 3,087.77 = 598.69 : x
  2. Step 2: Convert to fraction form
    2,058.51/3,087.77 = 598.69/x
  3. Step 3: Cross multiply
    2,058.51x = 3,087.77 × 598.69
  4. Step 4: Simplify right side
    2,058.51x = 1,848,621.26
  5. Step 5: Solve for x
    x = 1,848,621.26/2,058.51
  6. Step 6: Final answer
    x = 898.04

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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.