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Finding the Fourth Proportional to 2,022.18, 3,032.93 and 561.08

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Solution

The fourth proportional to 2,022.18, 3,032.93 and 561.08 is: 841.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.18 : 3,032.93 = 561.08 : x
  2. Step 2: Convert to fraction form
    2,022.18/3,032.93 = 561.08/x
  3. Step 3: Cross multiply
    2,022.18x = 3,032.93 × 561.08
  4. Step 4: Simplify right side
    2,022.18x = 1,701,698.39
  5. Step 5: Solve for x
    x = 1,701,698.39/2,022.18
  6. Step 6: Final answer
    x = 841.52

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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.