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Finding the Fourth Proportional to 2,364.70, 3,547.05 and 2,109.55

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Solution

The fourth proportional to 2,364.70, 3,547.05 and 2,109.55 is: 3,164.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.70 : 3,547.05 = 2,109.55 : x
  2. Step 2: Convert to fraction form
    2,364.70/3,547.05 = 2,109.55/x
  3. Step 3: Cross multiply
    2,364.70x = 3,547.05 × 2,109.55
  4. Step 4: Simplify right side
    2,364.70x = 7,482,679.33
  5. Step 5: Solve for x
    x = 7,482,679.33/2,364.70
  6. Step 6: Final answer
    x = 3,164.33

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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.