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Finding the Fourth Proportional to 2,058.55, 3,088.13 and 597.51

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Solution

The fourth proportional to 2,058.55, 3,088.13 and 597.51 is: 896.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.55 : 3,088.13 = 597.51 : x
  2. Step 2: Convert to fraction form
    2,058.55/3,088.13 = 597.51/x
  3. Step 3: Cross multiply
    2,058.55x = 3,088.13 × 597.51
  4. Step 4: Simplify right side
    2,058.55x = 1,845,185.57
  5. Step 5: Solve for x
    x = 1,845,185.57/2,058.55
  6. Step 6: Final answer
    x = 896.35

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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.