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Finding the Fourth Proportional to 1,909.78, 2,635.47 and 1,070.50

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Solution

The fourth proportional to 1,909.78, 2,635.47 and 1,070.50 is: 1,477.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.78 : 2,635.47 = 1,070.50 : x
  2. Step 2: Convert to fraction form
    1,909.78/2,635.47 = 1,070.50/x
  3. Step 3: Cross multiply
    1,909.78x = 2,635.47 × 1,070.50
  4. Step 4: Simplify right side
    1,909.78x = 2,821,270.64
  5. Step 5: Solve for x
    x = 2,821,270.64/1,909.78
  6. Step 6: Final answer
    x = 1,477.28

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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.