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Finding the Fourth Proportional to 1,898.58, 2,848.44 and 974.78

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Solution

The fourth proportional to 1,898.58, 2,848.44 and 974.78 is: 1,462.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898.58 : 2,848.44 = 974.78 : x
  2. Step 2: Convert to fraction form
    1,898.58/2,848.44 = 974.78/x
  3. Step 3: Cross multiply
    1,898.58x = 2,848.44 × 974.78
  4. Step 4: Simplify right side
    1,898.58x = 2,776,588.10
  5. Step 5: Solve for x
    x = 2,776,588.10/1,898.58
  6. Step 6: Final answer
    x = 1,462.46

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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.