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Finding the Fourth Proportional to 1,760.07, 2,429.07 and 1,014.06

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Solution

The fourth proportional to 1,760.07, 2,429.07 and 1,014.06 is: 1,399.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.07 : 2,429.07 = 1,014.06 : x
  2. Step 2: Convert to fraction form
    1,760.07/2,429.07 = 1,014.06/x
  3. Step 3: Cross multiply
    1,760.07x = 2,429.07 × 1,014.06
  4. Step 4: Simplify right side
    1,760.07x = 2,463,222.72
  5. Step 5: Solve for x
    x = 2,463,222.72/1,760.07
  6. Step 6: Final answer
    x = 1,399.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.