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Finding the Fourth Proportional to 2,729.58, 4,095.54 and 1,559.40

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Solution

The fourth proportional to 2,729.58, 4,095.54 and 1,559.40 is: 2,339.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.58 : 4,095.54 = 1,559.40 : x
  2. Step 2: Convert to fraction form
    2,729.58/4,095.54 = 1,559.40/x
  3. Step 3: Cross multiply
    2,729.58x = 4,095.54 × 1,559.40
  4. Step 4: Simplify right side
    2,729.58x = 6,386,585.08
  5. Step 5: Solve for x
    x = 6,386,585.08/2,729.58
  6. Step 6: Final answer
    x = 2,339.77

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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.