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Finding the Fourth Proportional to 1,458.65, 2,002.14 and 1,334.09

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Solution

The fourth proportional to 1,458.65, 2,002.14 and 1,334.09 is: 1,831.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.65 : 2,002.14 = 1,334.09 : x
  2. Step 2: Convert to fraction form
    1,458.65/2,002.14 = 1,334.09/x
  3. Step 3: Cross multiply
    1,458.65x = 2,002.14 × 1,334.09
  4. Step 4: Simplify right side
    1,458.65x = 2,671,039.96
  5. Step 5: Solve for x
    x = 2,671,039.96/1,458.65
  6. Step 6: Final answer
    x = 1,831.17

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.