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Finding the Fourth Proportional to 2,590.93, 3,886.91 and 742.06

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Solution

The fourth proportional to 2,590.93, 3,886.91 and 742.06 is: 1,113.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.93 : 3,886.91 = 742.06 : x
  2. Step 2: Convert to fraction form
    2,590.93/3,886.91 = 742.06/x
  3. Step 3: Cross multiply
    2,590.93x = 3,886.91 × 742.06
  4. Step 4: Simplify right side
    2,590.93x = 2,884,297.29
  5. Step 5: Solve for x
    x = 2,884,297.29/2,590.93
  6. Step 6: Final answer
    x = 1,113.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.