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Finding the Fourth Proportional to 1,668.64, 2,501.84 and 938.72

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Solution

The fourth proportional to 1,668.64, 2,501.84 and 938.72 is: 1,407.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668.64 : 2,501.84 = 938.72 : x
  2. Step 2: Convert to fraction form
    1,668.64/2,501.84 = 938.72/x
  3. Step 3: Cross multiply
    1,668.64x = 2,501.84 × 938.72
  4. Step 4: Simplify right side
    1,668.64x = 2,348,527.24
  5. Step 5: Solve for x
    x = 2,348,527.24/1,668.64
  6. Step 6: Final answer
    x = 1,407.45

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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.