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Finding the Fourth Proportional to 2,000.34, 2,994.03 and 1,510.02

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Solution

The fourth proportional to 2,000.34, 2,994.03 and 1,510.02 is: 2,260.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.34 : 2,994.03 = 1,510.02 : x
  2. Step 2: Convert to fraction form
    2,000.34/2,994.03 = 1,510.02/x
  3. Step 3: Cross multiply
    2,000.34x = 2,994.03 × 1,510.02
  4. Step 4: Simplify right side
    2,000.34x = 4,521,045.18
  5. Step 5: Solve for x
    x = 4,521,045.18/2,000.34
  6. Step 6: Final answer
    x = 2,260.14

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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.