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Finding the Fourth Proportional to 1,714.94, 2,366.50 and 1,006.81

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Solution

The fourth proportional to 1,714.94, 2,366.50 and 1,006.81 is: 1,389.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.94 : 2,366.50 = 1,006.81 : x
  2. Step 2: Convert to fraction form
    1,714.94/2,366.50 = 1,006.81/x
  3. Step 3: Cross multiply
    1,714.94x = 2,366.50 × 1,006.81
  4. Step 4: Simplify right side
    1,714.94x = 2,382,616.75
  5. Step 5: Solve for x
    x = 2,382,616.75/1,714.94
  6. Step 6: Final answer
    x = 1,389.33

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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.