Home / 1,497.17-2,066.76-1,164.80

Finding the Fourth Proportional to 1,497.17, 2,066.76 and 1,164.80

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Solution

The fourth proportional to 1,497.17, 2,066.76 and 1,164.80 is: 1,607.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.17 : 2,066.76 = 1,164.80 : x
  2. Step 2: Convert to fraction form
    1,497.17/2,066.76 = 1,164.80/x
  3. Step 3: Cross multiply
    1,497.17x = 2,066.76 × 1,164.80
  4. Step 4: Simplify right side
    1,497.17x = 2,407,351.71
  5. Step 5: Solve for x
    x = 2,407,351.71/1,497.17
  6. Step 6: Final answer
    x = 1,607.94

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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.