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Finding the Fourth Proportional to 1,510.67, 2,264.61 and 1,048.67

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Solution

The fourth proportional to 1,510.67, 2,264.61 and 1,048.67 is: 1,572.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.67 : 2,264.61 = 1,048.67 : x
  2. Step 2: Convert to fraction form
    1,510.67/2,264.61 = 1,048.67/x
  3. Step 3: Cross multiply
    1,510.67x = 2,264.61 × 1,048.67
  4. Step 4: Simplify right side
    1,510.67x = 2,374,817.25
  5. Step 5: Solve for x
    x = 2,374,817.25/1,510.67
  6. Step 6: Final answer
    x = 1,572.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.