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Finding the Fourth Proportional to 1,497.62, 2,066.01 and 973.46

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Solution

The fourth proportional to 1,497.62, 2,066.01 and 973.46 is: 1,342.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.62 : 2,066.01 = 973.46 : x
  2. Step 2: Convert to fraction form
    1,497.62/2,066.01 = 973.46/x
  3. Step 3: Cross multiply
    1,497.62x = 2,066.01 × 973.46
  4. Step 4: Simplify right side
    1,497.62x = 2,011,178.09
  5. Step 5: Solve for x
    x = 2,011,178.09/1,497.62
  6. Step 6: Final answer
    x = 1,342.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.