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Finding the Fourth Proportional to 2,398.63, 3,598.46 and 1,359.13

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Solution

The fourth proportional to 2,398.63, 3,598.46 and 1,359.13 is: 2,038.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.63 : 3,598.46 = 1,359.13 : x
  2. Step 2: Convert to fraction form
    2,398.63/3,598.46 = 1,359.13/x
  3. Step 3: Cross multiply
    2,398.63x = 3,598.46 × 1,359.13
  4. Step 4: Simplify right side
    2,398.63x = 4,890,774.94
  5. Step 5: Solve for x
    x = 4,890,774.94/2,398.63
  6. Step 6: Final answer
    x = 2,038.99

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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.