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Finding the Fourth Proportional to 1,420.84, 2,125.77 and 1,417.18

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Solution

The fourth proportional to 1,420.84, 2,125.77 and 1,417.18 is: 2,120.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.84 : 2,125.77 = 1,417.18 : x
  2. Step 2: Convert to fraction form
    1,420.84/2,125.77 = 1,417.18/x
  3. Step 3: Cross multiply
    1,420.84x = 2,125.77 × 1,417.18
  4. Step 4: Simplify right side
    1,420.84x = 3,012,598.73
  5. Step 5: Solve for x
    x = 3,012,598.73/1,420.84
  6. Step 6: Final answer
    x = 2,120.29

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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.