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Finding the Fourth Proportional to 1,537.98, 2,302.30 and 990.55

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Solution

The fourth proportional to 1,537.98, 2,302.30 and 990.55 is: 1,482.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.98 : 2,302.30 = 990.55 : x
  2. Step 2: Convert to fraction form
    1,537.98/2,302.30 = 990.55/x
  3. Step 3: Cross multiply
    1,537.98x = 2,302.30 × 990.55
  4. Step 4: Simplify right side
    1,537.98x = 2,280,543.27
  5. Step 5: Solve for x
    x = 2,280,543.27/1,537.98
  6. Step 6: Final answer
    x = 1,482.82

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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.