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Finding the Fourth Proportional to 1,706.93, 2,559.47 and 1,095.05

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Solution

The fourth proportional to 1,706.93, 2,559.47 and 1,095.05 is: 1,641.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.93 : 2,559.47 = 1,095.05 : x
  2. Step 2: Convert to fraction form
    1,706.93/2,559.47 = 1,095.05/x
  3. Step 3: Cross multiply
    1,706.93x = 2,559.47 × 1,095.05
  4. Step 4: Simplify right side
    1,706.93x = 2,802,729.35
  5. Step 5: Solve for x
    x = 2,802,729.35/1,706.93
  6. Step 6: Final answer
    x = 1,641.98

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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.