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Finding the Fourth Proportional to 2,045.14, 3,068.01 and 658.02

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Solution

The fourth proportional to 2,045.14, 3,068.01 and 658.02 is: 987.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.14 : 3,068.01 = 658.02 : x
  2. Step 2: Convert to fraction form
    2,045.14/3,068.01 = 658.02/x
  3. Step 3: Cross multiply
    2,045.14x = 3,068.01 × 658.02
  4. Step 4: Simplify right side
    2,045.14x = 2,018,810.50
  5. Step 5: Solve for x
    x = 2,018,810.50/2,045.14
  6. Step 6: Final answer
    x = 987.12

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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.