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Finding the Fourth Proportional to 3,153.02, 4,722.32 and 1,510.72

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Solution

The fourth proportional to 3,153.02, 4,722.32 and 1,510.72 is: 2,262.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.02 : 4,722.32 = 1,510.72 : x
  2. Step 2: Convert to fraction form
    3,153.02/4,722.32 = 1,510.72/x
  3. Step 3: Cross multiply
    3,153.02x = 4,722.32 × 1,510.72
  4. Step 4: Simplify right side
    3,153.02x = 7,134,095.24
  5. Step 5: Solve for x
    x = 7,134,095.24/3,153.02
  6. Step 6: Final answer
    x = 2,262.63

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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.