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Finding the Fourth Proportional to 2,946.78, 4,420.80 and 1,000.26

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Solution

The fourth proportional to 2,946.78, 4,420.80 and 1,000.26 is: 1,500.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.78 : 4,420.80 = 1,000.26 : x
  2. Step 2: Convert to fraction form
    2,946.78/4,420.80 = 1,000.26/x
  3. Step 3: Cross multiply
    2,946.78x = 4,420.80 × 1,000.26
  4. Step 4: Simplify right side
    2,946.78x = 4,421,949.41
  5. Step 5: Solve for x
    x = 4,421,949.41/2,946.78
  6. Step 6: Final answer
    x = 1,500.60

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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.