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Finding the Fourth Proportional to 1,684.69, 2,324.87 and 986.06

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Solution

The fourth proportional to 1,684.69, 2,324.87 and 986.06 is: 1,360.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.69 : 2,324.87 = 986.06 : x
  2. Step 2: Convert to fraction form
    1,684.69/2,324.87 = 986.06/x
  3. Step 3: Cross multiply
    1,684.69x = 2,324.87 × 986.06
  4. Step 4: Simplify right side
    1,684.69x = 2,292,465.89
  5. Step 5: Solve for x
    x = 2,292,465.89/1,684.69
  6. Step 6: Final answer
    x = 1,360.77

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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.