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Finding the Fourth Proportional to 2,398.54, 3,596.59 and 1,010.40

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Solution

The fourth proportional to 2,398.54, 3,596.59 and 1,010.40 is: 1,515.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.54 : 3,596.59 = 1,010.40 : x
  2. Step 2: Convert to fraction form
    2,398.54/3,596.59 = 1,010.40/x
  3. Step 3: Cross multiply
    2,398.54x = 3,596.59 × 1,010.40
  4. Step 4: Simplify right side
    2,398.54x = 3,633,994.54
  5. Step 5: Solve for x
    x = 3,633,994.54/2,398.54
  6. Step 6: Final answer
    x = 1,515.09

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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.