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Finding the Fourth Proportional to 2,005.95, 3,009.66 and 689.83

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Solution

The fourth proportional to 2,005.95, 3,009.66 and 689.83 is: 1,035.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.95 : 3,009.66 = 689.83 : x
  2. Step 2: Convert to fraction form
    2,005.95/3,009.66 = 689.83/x
  3. Step 3: Cross multiply
    2,005.95x = 3,009.66 × 689.83
  4. Step 4: Simplify right side
    2,005.95x = 2,076,153.76
  5. Step 5: Solve for x
    x = 2,076,153.76/2,005.95
  6. Step 6: Final answer
    x = 1,035.00

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1.5x scale

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.