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Finding the Fourth Proportional to 1,707.95, 2,559.52 and 1,359.74

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Solution

The fourth proportional to 1,707.95, 2,559.52 and 1,359.74 is: 2,037.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.95 : 2,559.52 = 1,359.74 : x
  2. Step 2: Convert to fraction form
    1,707.95/2,559.52 = 1,359.74/x
  3. Step 3: Cross multiply
    1,707.95x = 2,559.52 × 1,359.74
  4. Step 4: Simplify right side
    1,707.95x = 3,480,281.72
  5. Step 5: Solve for x
    x = 3,480,281.72/1,707.95
  6. Step 6: Final answer
    x = 2,037.70

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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.