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Finding the Fourth Proportional to 1,925.70, 2,889 and 830.16

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Solution

The fourth proportional to 1,925.70, 2,889 and 830.16 is: 1,245.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,925.70 : 2,889 = 830.16 : x
  2. Step 2: Convert to fraction form
    1,925.70/2,889 = 830.16/x
  3. Step 3: Cross multiply
    1,925.70x = 2,889 × 830.16
  4. Step 4: Simplify right side
    1,925.70x = 2,398,332.24
  5. Step 5: Solve for x
    x = 2,398,332.24/1,925.70
  6. Step 6: Final answer
    x = 1,245.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.