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Finding the Fourth Proportional to 2,319.95, 3,201.51 and 1,257.72

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Solution

The fourth proportional to 2,319.95, 3,201.51 and 1,257.72 is: 1,735.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319.95 : 3,201.51 = 1,257.72 : x
  2. Step 2: Convert to fraction form
    2,319.95/3,201.51 = 1,257.72/x
  3. Step 3: Cross multiply
    2,319.95x = 3,201.51 × 1,257.72
  4. Step 4: Simplify right side
    2,319.95x = 4,026,603.16
  5. Step 5: Solve for x
    x = 4,026,603.16/2,319.95
  6. Step 6: Final answer
    x = 1,735.64

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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.