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Finding the Fourth Proportional to 2,065.23, 2,852.15 and 1,768.77

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Solution

The fourth proportional to 2,065.23, 2,852.15 and 1,768.77 is: 2,442.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.23 : 2,852.15 = 1,768.77 : x
  2. Step 2: Convert to fraction form
    2,065.23/2,852.15 = 1,768.77/x
  3. Step 3: Cross multiply
    2,065.23x = 2,852.15 × 1,768.77
  4. Step 4: Simplify right side
    2,065.23x = 5,044,788.51
  5. Step 5: Solve for x
    x = 5,044,788.51/2,065.23
  6. Step 6: Final answer
    x = 2,442.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.