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Finding the Fourth Proportional to 1,970.02, 2,942.56 and 1,532.62

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Solution

The fourth proportional to 1,970.02, 2,942.56 and 1,532.62 is: 2,289.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.02 : 2,942.56 = 1,532.62 : x
  2. Step 2: Convert to fraction form
    1,970.02/2,942.56 = 1,532.62/x
  3. Step 3: Cross multiply
    1,970.02x = 2,942.56 × 1,532.62
  4. Step 4: Simplify right side
    1,970.02x = 4,509,826.31
  5. Step 5: Solve for x
    x = 4,509,826.31/1,970.02
  6. Step 6: Final answer
    x = 2,289.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.