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Finding the Fourth Proportional to 1,460.26, 2,014.96 and 937.00

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Solution

The fourth proportional to 1,460.26, 2,014.96 and 937.00 is: 1,292.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.26 : 2,014.96 = 937.00 : x
  2. Step 2: Convert to fraction form
    1,460.26/2,014.96 = 937.00/x
  3. Step 3: Cross multiply
    1,460.26x = 2,014.96 × 937.00
  4. Step 4: Simplify right side
    1,460.26x = 1,888,002.76
  5. Step 5: Solve for x
    x = 1,888,002.76/1,460.26
  6. Step 6: Final answer
    x = 1,292.93

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Why These Related Problems?

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