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Finding the Fourth Proportional to 1,865.94, 2,574.82 and 1,026.64

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Solution

The fourth proportional to 1,865.94, 2,574.82 and 1,026.64 is: 1,416.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865.94 : 2,574.82 = 1,026.64 : x
  2. Step 2: Convert to fraction form
    1,865.94/2,574.82 = 1,026.64/x
  3. Step 3: Cross multiply
    1,865.94x = 2,574.82 × 1,026.64
  4. Step 4: Simplify right side
    1,865.94x = 2,643,413.20
  5. Step 5: Solve for x
    x = 2,643,413.20/1,865.94
  6. Step 6: Final answer
    x = 1,416.67

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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.