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Finding the Fourth Proportional to 1,333.74, 1,839.51 and 835.86

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Solution

The fourth proportional to 1,333.74, 1,839.51 and 835.86 is: 1,152.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.74 : 1,839.51 = 835.86 : x
  2. Step 2: Convert to fraction form
    1,333.74/1,839.51 = 835.86/x
  3. Step 3: Cross multiply
    1,333.74x = 1,839.51 × 835.86
  4. Step 4: Simplify right side
    1,333.74x = 1,537,572.83
  5. Step 5: Solve for x
    x = 1,537,572.83/1,333.74
  6. Step 6: Final answer
    x = 1,152.83

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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.