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Finding the Fourth Proportional to 2,094.29, 3,140.60 and 924.35

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Solution

The fourth proportional to 2,094.29, 3,140.60 and 924.35 is: 1,386.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.29 : 3,140.60 = 924.35 : x
  2. Step 2: Convert to fraction form
    2,094.29/3,140.60 = 924.35/x
  3. Step 3: Cross multiply
    2,094.29x = 3,140.60 × 924.35
  4. Step 4: Simplify right side
    2,094.29x = 2,902,993.29
  5. Step 5: Solve for x
    x = 2,902,993.29/2,094.29
  6. Step 6: Final answer
    x = 1,386.15

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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.