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Finding the Fourth Proportional to 1,809.66, 2,497.80 and 1,111.62

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Solution

The fourth proportional to 1,809.66, 2,497.80 and 1,111.62 is: 1,534.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.66 : 2,497.80 = 1,111.62 : x
  2. Step 2: Convert to fraction form
    1,809.66/2,497.80 = 1,111.62/x
  3. Step 3: Cross multiply
    1,809.66x = 2,497.80 × 1,111.62
  4. Step 4: Simplify right side
    1,809.66x = 2,776,604.44
  5. Step 5: Solve for x
    x = 2,776,604.44/1,809.66
  6. Step 6: Final answer
    x = 1,534.32

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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.