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Finding the Fourth Proportional to 1,899.12, 2,848 and 973.76

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Solution

The fourth proportional to 1,899.12, 2,848 and 973.76 is: 1,460.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,899.12 : 2,848 = 973.76 : x
  2. Step 2: Convert to fraction form
    1,899.12/2,848 = 973.76/x
  3. Step 3: Cross multiply
    1,899.12x = 2,848 × 973.76
  4. Step 4: Simplify right side
    1,899.12x = 2,773,268.48
  5. Step 5: Solve for x
    x = 2,773,268.48/1,899.12
  6. Step 6: Final answer
    x = 1,460.29

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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.