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Finding the Fourth Proportional to 1,899.16, 2,848.70 and 600.63

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Solution

The fourth proportional to 1,899.16, 2,848.70 and 600.63 is: 900.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,899.16 : 2,848.70 = 600.63 : x
  2. Step 2: Convert to fraction form
    1,899.16/2,848.70 = 600.63/x
  3. Step 3: Cross multiply
    1,899.16x = 2,848.70 × 600.63
  4. Step 4: Simplify right side
    1,899.16x = 1,711,005.50
  5. Step 5: Solve for x
    x = 1,711,005.50/1,899.16
  6. Step 6: Final answer
    x = 900.93

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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.