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Finding the Fourth Proportional to 1,364.86, 2,048.33 and 749.26

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Solution

The fourth proportional to 1,364.86, 2,048.33 and 749.26 is: 1,124.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.86 : 2,048.33 = 749.26 : x
  2. Step 2: Convert to fraction form
    1,364.86/2,048.33 = 749.26/x
  3. Step 3: Cross multiply
    1,364.86x = 2,048.33 × 749.26
  4. Step 4: Simplify right side
    1,364.86x = 1,534,731.74
  5. Step 5: Solve for x
    x = 1,534,731.74/1,364.86
  6. Step 6: Final answer
    x = 1,124.46

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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.