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Finding the Fourth Proportional to 2,875.56, 4,312.89 and 928.23

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Solution

The fourth proportional to 2,875.56, 4,312.89 and 928.23 is: 1,392.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,875.56 : 4,312.89 = 928.23 : x
  2. Step 2: Convert to fraction form
    2,875.56/4,312.89 = 928.23/x
  3. Step 3: Cross multiply
    2,875.56x = 4,312.89 × 928.23
  4. Step 4: Simplify right side
    2,875.56x = 4,003,353.88
  5. Step 5: Solve for x
    x = 4,003,353.88/2,875.56
  6. Step 6: Final answer
    x = 1,392.20

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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.