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Finding the Fourth Proportional to 2,945.51, 4,066.03 and 2,106.55

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Solution

The fourth proportional to 2,945.51, 4,066.03 and 2,106.55 is: 2,907.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,945.51 : 4,066.03 = 2,106.55 : x
  2. Step 2: Convert to fraction form
    2,945.51/4,066.03 = 2,106.55/x
  3. Step 3: Cross multiply
    2,945.51x = 4,066.03 × 2,106.55
  4. Step 4: Simplify right side
    2,945.51x = 8,565,295.50
  5. Step 5: Solve for x
    x = 8,565,295.50/2,945.51
  6. Step 6: Final answer
    x = 2,907.92

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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.