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Finding the Fourth Proportional to 1,711.66, 2,568.47 and 1,697.74

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Solution

The fourth proportional to 1,711.66, 2,568.47 and 1,697.74 is: 2,547.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711.66 : 2,568.47 = 1,697.74 : x
  2. Step 2: Convert to fraction form
    1,711.66/2,568.47 = 1,697.74/x
  3. Step 3: Cross multiply
    1,711.66x = 2,568.47 × 1,697.74
  4. Step 4: Simplify right side
    1,711.66x = 4,360,594.26
  5. Step 5: Solve for x
    x = 4,360,594.26/1,711.66
  6. Step 6: Final answer
    x = 2,547.58

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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.