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Finding the Fourth Proportional to 2,473.83, 3,706.08 and 1,923.35

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Solution

The fourth proportional to 2,473.83, 3,706.08 and 1,923.35 is: 2,881.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.83 : 3,706.08 = 1,923.35 : x
  2. Step 2: Convert to fraction form
    2,473.83/3,706.08 = 1,923.35/x
  3. Step 3: Cross multiply
    2,473.83x = 3,706.08 × 1,923.35
  4. Step 4: Simplify right side
    2,473.83x = 7,128,070.44
  5. Step 5: Solve for x
    x = 7,128,070.44/2,473.83
  6. Step 6: Final answer
    x = 2,881.39

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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.