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Finding the Fourth Proportional to 2,066.50, 2,848.37 and 1,437.94

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Solution

The fourth proportional to 2,066.50, 2,848.37 and 1,437.94 is: 1,981.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.50 : 2,848.37 = 1,437.94 : x
  2. Step 2: Convert to fraction form
    2,066.50/2,848.37 = 1,437.94/x
  3. Step 3: Cross multiply
    2,066.50x = 2,848.37 × 1,437.94
  4. Step 4: Simplify right side
    2,066.50x = 4,095,785.16
  5. Step 5: Solve for x
    x = 4,095,785.16/2,066.50
  6. Step 6: Final answer
    x = 1,981.99

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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.