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Finding the Fourth Proportional to 1,624.64, 2,242.08 and 926

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Solution

The fourth proportional to 1,624.64, 2,242.08 and 926 is: 1,277.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.64 : 2,242.08 = 926 : x
  2. Step 2: Convert to fraction form
    1,624.64/2,242.08 = 926/x
  3. Step 3: Cross multiply
    1,624.64x = 2,242.08 × 926
  4. Step 4: Simplify right side
    1,624.64x = 2,076,166.08
  5. Step 5: Solve for x
    x = 2,076,166.08/1,624.64
  6. Step 6: Final answer
    x = 1,277.92

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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.