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Finding the Fourth Proportional to 1,624.68, 2,242.14 and 926.07

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Solution

The fourth proportional to 1,624.68, 2,242.14 and 926.07 is: 1,278.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.68 : 2,242.14 = 926.07 : x
  2. Step 2: Convert to fraction form
    1,624.68/2,242.14 = 926.07/x
  3. Step 3: Cross multiply
    1,624.68x = 2,242.14 × 926.07
  4. Step 4: Simplify right side
    1,624.68x = 2,076,378.59
  5. Step 5: Solve for x
    x = 2,076,378.59/1,624.68
  6. Step 6: Final answer
    x = 1,278.02

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