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Finding the Fourth Proportional to 2,065.32, 2,852.58 and 1,504.86

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Solution

The fourth proportional to 2,065.32, 2,852.58 and 1,504.86 is: 2,078.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.32 : 2,852.58 = 1,504.86 : x
  2. Step 2: Convert to fraction form
    2,065.32/2,852.58 = 1,504.86/x
  3. Step 3: Cross multiply
    2,065.32x = 2,852.58 × 1,504.86
  4. Step 4: Simplify right side
    2,065.32x = 4,292,733.54
  5. Step 5: Solve for x
    x = 4,292,733.54/2,065.32
  6. Step 6: Final answer
    x = 2,078.48

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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.