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Finding the Fourth Proportional to 1,420.83, 2,119.82 and 1,264.90

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Solution

The fourth proportional to 1,420.83, 2,119.82 and 1,264.90 is: 1,887.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.83 : 2,119.82 = 1,264.90 : x
  2. Step 2: Convert to fraction form
    1,420.83/2,119.82 = 1,264.90/x
  3. Step 3: Cross multiply
    1,420.83x = 2,119.82 × 1,264.90
  4. Step 4: Simplify right side
    1,420.83x = 2,681,360.32
  5. Step 5: Solve for x
    x = 2,681,360.32/1,420.83
  6. Step 6: Final answer
    x = 1,887.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.