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Finding the Fourth Proportional to 1,684.87, 2,526.60 and 992.93

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Solution

The fourth proportional to 1,684.87, 2,526.60 and 992.93 is: 1,488.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.87 : 2,526.60 = 992.93 : x
  2. Step 2: Convert to fraction form
    1,684.87/2,526.60 = 992.93/x
  3. Step 3: Cross multiply
    1,684.87x = 2,526.60 × 992.93
  4. Step 4: Simplify right side
    1,684.87x = 2,508,736.94
  5. Step 5: Solve for x
    x = 2,508,736.94/1,684.87
  6. Step 6: Final answer
    x = 1,488.98

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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.