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Finding the Fourth Proportional to 1,870.77, 2,582.59 and 1,450.17

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Solution

The fourth proportional to 1,870.77, 2,582.59 and 1,450.17 is: 2,001.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.77 : 2,582.59 = 1,450.17 : x
  2. Step 2: Convert to fraction form
    1,870.77/2,582.59 = 1,450.17/x
  3. Step 3: Cross multiply
    1,870.77x = 2,582.59 × 1,450.17
  4. Step 4: Simplify right side
    1,870.77x = 3,745,194.54
  5. Step 5: Solve for x
    x = 3,745,194.54/1,870.77
  6. Step 6: Final answer
    x = 2,001.95

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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.