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Finding the Fourth Proportional to 3,152.84, 4,726.17 and 1,510.53

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Solution

The fourth proportional to 3,152.84, 4,726.17 and 1,510.53 is: 2,264.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.84 : 4,726.17 = 1,510.53 : x
  2. Step 2: Convert to fraction form
    3,152.84/4,726.17 = 1,510.53/x
  3. Step 3: Cross multiply
    3,152.84x = 4,726.17 × 1,510.53
  4. Step 4: Simplify right side
    3,152.84x = 7,139,021.57
  5. Step 5: Solve for x
    x = 7,139,021.57/3,152.84
  6. Step 6: Final answer
    x = 2,264.32

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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.