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Finding the Fourth Proportional to 2,655.10, 3,984.47 and 923.72

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Solution

The fourth proportional to 2,655.10, 3,984.47 and 923.72 is: 1,386.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.10 : 3,984.47 = 923.72 : x
  2. Step 2: Convert to fraction form
    2,655.10/3,984.47 = 923.72/x
  3. Step 3: Cross multiply
    2,655.10x = 3,984.47 × 923.72
  4. Step 4: Simplify right side
    2,655.10x = 3,680,534.63
  5. Step 5: Solve for x
    x = 3,680,534.63/2,655.10
  6. Step 6: Final answer
    x = 1,386.21

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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.