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Finding the Fourth Proportional to 2,990.98, 4,482.42 and 1,345.48

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Solution

The fourth proportional to 2,990.98, 4,482.42 and 1,345.48 is: 2,016.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,990.98 : 4,482.42 = 1,345.48 : x
  2. Step 2: Convert to fraction form
    2,990.98/4,482.42 = 1,345.48/x
  3. Step 3: Cross multiply
    2,990.98x = 4,482.42 × 1,345.48
  4. Step 4: Simplify right side
    2,990.98x = 6,031,006.46
  5. Step 5: Solve for x
    x = 6,031,006.46/2,990.98
  6. Step 6: Final answer
    x = 2,016.40

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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.