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Finding the Fourth Proportional to 2,152.63, 3,228.64 and 1,056.70

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Solution

The fourth proportional to 2,152.63, 3,228.64 and 1,056.70 is: 1,584.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.63 : 3,228.64 = 1,056.70 : x
  2. Step 2: Convert to fraction form
    2,152.63/3,228.64 = 1,056.70/x
  3. Step 3: Cross multiply
    2,152.63x = 3,228.64 × 1,056.70
  4. Step 4: Simplify right side
    2,152.63x = 3,411,703.89
  5. Step 5: Solve for x
    x = 3,411,703.89/2,152.63
  6. Step 6: Final answer
    x = 1,584.90

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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.