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Finding the Fourth Proportional to 2,126.76, 3,190.14 and 740.04

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Solution

The fourth proportional to 2,126.76, 3,190.14 and 740.04 is: 1,110.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.76 : 3,190.14 = 740.04 : x
  2. Step 2: Convert to fraction form
    2,126.76/3,190.14 = 740.04/x
  3. Step 3: Cross multiply
    2,126.76x = 3,190.14 × 740.04
  4. Step 4: Simplify right side
    2,126.76x = 2,360,831.21
  5. Step 5: Solve for x
    x = 2,360,831.21/2,126.76
  6. Step 6: Final answer
    x = 1,110.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.