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Finding the Fourth Proportional to 1,719.75, 2,373.84 and 1,159.86

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Solution

The fourth proportional to 1,719.75, 2,373.84 and 1,159.86 is: 1,601.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,719.75 : 2,373.84 = 1,159.86 : x
  2. Step 2: Convert to fraction form
    1,719.75/2,373.84 = 1,159.86/x
  3. Step 3: Cross multiply
    1,719.75x = 2,373.84 × 1,159.86
  4. Step 4: Simplify right side
    1,719.75x = 2,753,322.06
  5. Step 5: Solve for x
    x = 2,753,322.06/1,719.75
  6. Step 6: Final answer
    x = 1,601.00

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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.