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Finding the Fourth Proportional to 2,598.22, 3,895.08 and 1,298.98

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Solution

The fourth proportional to 2,598.22, 3,895.08 and 1,298.98 is: 1,947.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.22 : 3,895.08 = 1,298.98 : x
  2. Step 2: Convert to fraction form
    2,598.22/3,895.08 = 1,298.98/x
  3. Step 3: Cross multiply
    2,598.22x = 3,895.08 × 1,298.98
  4. Step 4: Simplify right side
    2,598.22x = 5,059,631.02
  5. Step 5: Solve for x
    x = 5,059,631.02/2,598.22
  6. Step 6: Final answer
    x = 1,947.35

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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.