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Finding the Fourth Proportional to 1,774.08, 2,664 and 1,658.88

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Solution

The fourth proportional to 1,774.08, 2,664 and 1,658.88 is: 2,491.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774.08 : 2,664 = 1,658.88 : x
  2. Step 2: Convert to fraction form
    1,774.08/2,664 = 1,658.88/x
  3. Step 3: Cross multiply
    1,774.08x = 2,664 × 1,658.88
  4. Step 4: Simplify right side
    1,774.08x = 4,419,256.32
  5. Step 5: Solve for x
    x = 4,419,256.32/1,774.08
  6. Step 6: Final answer
    x = 2,491.01

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