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Finding the Fourth Proportional to 1,597.69, 2,392.52 and 1,010.93

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Solution

The fourth proportional to 1,597.69, 2,392.52 and 1,010.93 is: 1,513.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.69 : 2,392.52 = 1,010.93 : x
  2. Step 2: Convert to fraction form
    1,597.69/2,392.52 = 1,010.93/x
  3. Step 3: Cross multiply
    1,597.69x = 2,392.52 × 1,010.93
  4. Step 4: Simplify right side
    1,597.69x = 2,418,660.81
  5. Step 5: Solve for x
    x = 2,418,660.81/1,597.69
  6. Step 6: Final answer
    x = 1,513.85

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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.