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Finding the Fourth Proportional to 2,707.51, 4,058.17 and 1,146.53

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Solution

The fourth proportional to 2,707.51, 4,058.17 and 1,146.53 is: 1,718.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.51 : 4,058.17 = 1,146.53 : x
  2. Step 2: Convert to fraction form
    2,707.51/4,058.17 = 1,146.53/x
  3. Step 3: Cross multiply
    2,707.51x = 4,058.17 × 1,146.53
  4. Step 4: Simplify right side
    2,707.51x = 4,652,813.65
  5. Step 5: Solve for x
    x = 4,652,813.65/2,707.51
  6. Step 6: Final answer
    x = 1,718.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.