Home / 1,497.04-2,066.84-966.12

Finding the Fourth Proportional to 1,497.04, 2,066.84 and 966.12

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Solution

The fourth proportional to 1,497.04, 2,066.84 and 966.12 is: 1,333.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.04 : 2,066.84 = 966.12 : x
  2. Step 2: Convert to fraction form
    1,497.04/2,066.84 = 966.12/x
  3. Step 3: Cross multiply
    1,497.04x = 2,066.84 × 966.12
  4. Step 4: Simplify right side
    1,497.04x = 1,996,815.46
  5. Step 5: Solve for x
    x = 1,996,815.46/1,497.04
  6. Step 6: Final answer
    x = 1,333.84

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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.