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Finding the Fourth Proportional to 2,077.48, 2,870.22 and 1,582.12

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Solution

The fourth proportional to 2,077.48, 2,870.22 and 1,582.12 is: 2,185.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.48 : 2,870.22 = 1,582.12 : x
  2. Step 2: Convert to fraction form
    2,077.48/2,870.22 = 1,582.12/x
  3. Step 3: Cross multiply
    2,077.48x = 2,870.22 × 1,582.12
  4. Step 4: Simplify right side
    2,077.48x = 4,541,032.47
  5. Step 5: Solve for x
    x = 4,541,032.47/2,077.48
  6. Step 6: Final answer
    x = 2,185.84

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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.