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Finding the Fourth Proportional to 2,598.52, 3,895.35 and 954.63

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Solution

The fourth proportional to 2,598.52, 3,895.35 and 954.63 is: 1,431.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.52 : 3,895.35 = 954.63 : x
  2. Step 2: Convert to fraction form
    2,598.52/3,895.35 = 954.63/x
  3. Step 3: Cross multiply
    2,598.52x = 3,895.35 × 954.63
  4. Step 4: Simplify right side
    2,598.52x = 3,718,617.97
  5. Step 5: Solve for x
    x = 3,718,617.97/2,598.52
  6. Step 6: Final answer
    x = 1,431.05

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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.