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Finding the Fourth Proportional to 2,155.46, 3,228.93 and 1,056.51

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Solution

The fourth proportional to 2,155.46, 3,228.93 and 1,056.51 is: 1,582.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.46 : 3,228.93 = 1,056.51 : x
  2. Step 2: Convert to fraction form
    2,155.46/3,228.93 = 1,056.51/x
  3. Step 3: Cross multiply
    2,155.46x = 3,228.93 × 1,056.51
  4. Step 4: Simplify right side
    2,155.46x = 3,411,396.83
  5. Step 5: Solve for x
    x = 3,411,396.83/2,155.46
  6. Step 6: Final answer
    x = 1,582.68

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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.