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Finding the Fourth Proportional to 2,605.56, 3,590.93 and 2,058.14

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Solution

The fourth proportional to 2,605.56, 3,590.93 and 2,058.14 is: 2,836.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.56 : 3,590.93 = 2,058.14 : x
  2. Step 2: Convert to fraction form
    2,605.56/3,590.93 = 2,058.14/x
  3. Step 3: Cross multiply
    2,605.56x = 3,590.93 × 2,058.14
  4. Step 4: Simplify right side
    2,605.56x = 7,390,623.86
  5. Step 5: Solve for x
    x = 7,390,623.86/2,605.56
  6. Step 6: Final answer
    x = 2,836.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.