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Finding the Fourth Proportional to 2,066.86, 2,852.94 and 1,405.72

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Solution

The fourth proportional to 2,066.86, 2,852.94 and 1,405.72 is: 1,940.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.86 : 2,852.94 = 1,405.72 : x
  2. Step 2: Convert to fraction form
    2,066.86/2,852.94 = 1,405.72/x
  3. Step 3: Cross multiply
    2,066.86x = 2,852.94 × 1,405.72
  4. Step 4: Simplify right side
    2,066.86x = 4,010,434.82
  5. Step 5: Solve for x
    x = 4,010,434.82/2,066.86
  6. Step 6: Final answer
    x = 1,940.35

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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.