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Finding the Fourth Proportional to 2,055.98, 2,838.59 and 1,582.99

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Solution

The fourth proportional to 2,055.98, 2,838.59 and 1,582.99 is: 2,185.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.98 : 2,838.59 = 1,582.99 : x
  2. Step 2: Convert to fraction form
    2,055.98/2,838.59 = 1,582.99/x
  3. Step 3: Cross multiply
    2,055.98x = 2,838.59 × 1,582.99
  4. Step 4: Simplify right side
    2,055.98x = 4,493,450.51
  5. Step 5: Solve for x
    x = 4,493,450.51/2,055.98
  6. Step 6: Final answer
    x = 2,185.55

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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.