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Finding the Fourth Proportional to 1,909.54, 2,636.24 and 1,312.90

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Solution

The fourth proportional to 1,909.54, 2,636.24 and 1,312.90 is: 1,812.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.54 : 2,636.24 = 1,312.90 : x
  2. Step 2: Convert to fraction form
    1,909.54/2,636.24 = 1,312.90/x
  3. Step 3: Cross multiply
    1,909.54x = 2,636.24 × 1,312.90
  4. Step 4: Simplify right side
    1,909.54x = 3,461,119.50
  5. Step 5: Solve for x
    x = 3,461,119.50/1,909.54
  6. Step 6: Final answer
    x = 1,812.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.