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Finding the Fourth Proportional to 1,497.50, 2,066.81 and 975.05

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Solution

The fourth proportional to 1,497.50, 2,066.81 and 975.05 is: 1,345.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.50 : 2,066.81 = 975.05 : x
  2. Step 2: Convert to fraction form
    1,497.50/2,066.81 = 975.05/x
  3. Step 3: Cross multiply
    1,497.50x = 2,066.81 × 975.05
  4. Step 4: Simplify right side
    1,497.50x = 2,015,227.88
  5. Step 5: Solve for x
    x = 2,015,227.88/1,497.50
  6. Step 6: Final answer
    x = 1,345.73

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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.