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Finding the Fourth Proportional to 2,374.95, 3,277.77 and 1,712.69

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Solution

The fourth proportional to 2,374.95, 3,277.77 and 1,712.69 is: 2,363.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.95 : 3,277.77 = 1,712.69 : x
  2. Step 2: Convert to fraction form
    2,374.95/3,277.77 = 1,712.69/x
  3. Step 3: Cross multiply
    2,374.95x = 3,277.77 × 1,712.69
  4. Step 4: Simplify right side
    2,374.95x = 5,613,811.82
  5. Step 5: Solve for x
    x = 5,613,811.82/2,374.95
  6. Step 6: Final answer
    x = 2,363.76

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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.