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Finding the Fourth Proportional to 2,978.36, 4,466.70 and 1,030.52

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Solution

The fourth proportional to 2,978.36, 4,466.70 and 1,030.52 is: 1,545.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.36 : 4,466.70 = 1,030.52 : x
  2. Step 2: Convert to fraction form
    2,978.36/4,466.70 = 1,030.52/x
  3. Step 3: Cross multiply
    2,978.36x = 4,466.70 × 1,030.52
  4. Step 4: Simplify right side
    2,978.36x = 4,603,023.68
  5. Step 5: Solve for x
    x = 4,603,023.68/2,978.36
  6. Step 6: Final answer
    x = 1,545.49

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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.