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Finding the Fourth Proportional to 1,684.78, 2,324.01 and 986.02

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Solution

The fourth proportional to 1,684.78, 2,324.01 and 986.02 is: 1,360.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.78 : 2,324.01 = 986.02 : x
  2. Step 2: Convert to fraction form
    1,684.78/2,324.01 = 986.02/x
  3. Step 3: Cross multiply
    1,684.78x = 2,324.01 × 986.02
  4. Step 4: Simplify right side
    1,684.78x = 2,291,520.34
  5. Step 5: Solve for x
    x = 2,291,520.34/1,684.78
  6. Step 6: Final answer
    x = 1,360.13

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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.