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Finding the Fourth Proportional to 1,788.10, 2,678.55 and 1,136.50

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Solution

The fourth proportional to 1,788.10, 2,678.55 and 1,136.50 is: 1,702.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788.10 : 2,678.55 = 1,136.50 : x
  2. Step 2: Convert to fraction form
    1,788.10/2,678.55 = 1,136.50/x
  3. Step 3: Cross multiply
    1,788.10x = 2,678.55 × 1,136.50
  4. Step 4: Simplify right side
    1,788.10x = 3,044,172.08
  5. Step 5: Solve for x
    x = 3,044,172.08/1,788.10
  6. Step 6: Final answer
    x = 1,702.46

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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.