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Finding the Fourth Proportional to 3,154.84, 4,731 and 1,510.18

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Solution

The fourth proportional to 3,154.84, 4,731 and 1,510.18 is: 2,264.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.84 : 4,731 = 1,510.18 : x
  2. Step 2: Convert to fraction form
    3,154.84/4,731 = 1,510.18/x
  3. Step 3: Cross multiply
    3,154.84x = 4,731 × 1,510.18
  4. Step 4: Simplify right side
    3,154.84x = 7,144,661.58
  5. Step 5: Solve for x
    x = 7,144,661.58/3,154.84
  6. Step 6: Final answer
    x = 2,264.67

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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.