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Finding the Fourth Proportional to 1,697.68, 2,337.58 and 1,486.64

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Solution

The fourth proportional to 1,697.68, 2,337.58 and 1,486.64 is: 2,046.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.68 : 2,337.58 = 1,486.64 : x
  2. Step 2: Convert to fraction form
    1,697.68/2,337.58 = 1,486.64/x
  3. Step 3: Cross multiply
    1,697.68x = 2,337.58 × 1,486.64
  4. Step 4: Simplify right side
    1,697.68x = 3,475,139.93
  5. Step 5: Solve for x
    x = 3,475,139.93/1,697.68
  6. Step 6: Final answer
    x = 2,046.99

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1.5x scale

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.