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Finding the Fourth Proportional to 1,913.98, 2,870.07 and 873.34

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Solution

The fourth proportional to 1,913.98, 2,870.07 and 873.34 is: 1,309.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,913.98 : 2,870.07 = 873.34 : x
  2. Step 2: Convert to fraction form
    1,913.98/2,870.07 = 873.34/x
  3. Step 3: Cross multiply
    1,913.98x = 2,870.07 × 873.34
  4. Step 4: Simplify right side
    1,913.98x = 2,506,546.93
  5. Step 5: Solve for x
    x = 2,506,546.93/1,913.98
  6. Step 6: Final answer
    x = 1,309.60

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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.