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Finding the Fourth Proportional to 2,948.34, 4,422.47 and 973.99

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Solution

The fourth proportional to 2,948.34, 4,422.47 and 973.99 is: 1,460.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948.34 : 4,422.47 = 973.99 : x
  2. Step 2: Convert to fraction form
    2,948.34/4,422.47 = 973.99/x
  3. Step 3: Cross multiply
    2,948.34x = 4,422.47 × 973.99
  4. Step 4: Simplify right side
    2,948.34x = 4,307,442.21
  5. Step 5: Solve for x
    x = 4,307,442.21/2,948.34
  6. Step 6: Final answer
    x = 1,460.97

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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.