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Finding the Fourth Proportional to 2,111.40, 2,852.55 and 2,111.40

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Solution

The fourth proportional to 2,111.40, 2,852.55 and 2,111.40 is: 2,852.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.40 : 2,852.55 = 2,111.40 : x
  2. Step 2: Convert to fraction form
    2,111.40/2,852.55 = 2,111.40/x
  3. Step 3: Cross multiply
    2,111.40x = 2,852.55 × 2,111.40
  4. Step 4: Simplify right side
    2,111.40x = 6,022,874.07
  5. Step 5: Solve for x
    x = 6,022,874.07/2,111.40
  6. Step 6: Final answer
    x = 2,852.55

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.