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Finding the Fourth Proportional to 2,088.45, 3,130.34 and 854.37

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Solution

The fourth proportional to 2,088.45, 3,130.34 and 854.37 is: 1,280.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.45 : 3,130.34 = 854.37 : x
  2. Step 2: Convert to fraction form
    2,088.45/3,130.34 = 854.37/x
  3. Step 3: Cross multiply
    2,088.45x = 3,130.34 × 854.37
  4. Step 4: Simplify right side
    2,088.45x = 2,674,464.31
  5. Step 5: Solve for x
    x = 2,674,464.31/2,088.45
  6. Step 6: Final answer
    x = 1,280.60

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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.