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Finding the Fourth Proportional to 1,870.34, 2,582.18 and 1,662.77

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Solution

The fourth proportional to 1,870.34, 2,582.18 and 1,662.77 is: 2,295.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.34 : 2,582.18 = 1,662.77 : x
  2. Step 2: Convert to fraction form
    1,870.34/2,582.18 = 1,662.77/x
  3. Step 3: Cross multiply
    1,870.34x = 2,582.18 × 1,662.77
  4. Step 4: Simplify right side
    1,870.34x = 4,293,569.58
  5. Step 5: Solve for x
    x = 4,293,569.58/1,870.34
  6. Step 6: Final answer
    x = 2,295.61

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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.