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Finding the Fourth Proportional to 2,594.02, 3,892.65 and 1,055.02

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Solution

The fourth proportional to 2,594.02, 3,892.65 and 1,055.02 is: 1,583.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.02 : 3,892.65 = 1,055.02 : x
  2. Step 2: Convert to fraction form
    2,594.02/3,892.65 = 1,055.02/x
  3. Step 3: Cross multiply
    2,594.02x = 3,892.65 × 1,055.02
  4. Step 4: Simplify right side
    2,594.02x = 4,106,823.60
  5. Step 5: Solve for x
    x = 4,106,823.60/2,594.02
  6. Step 6: Final answer
    x = 1,583.19

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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.