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Finding the Fourth Proportional to 1,369.86, 1,889.84 and 956.10

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Solution

The fourth proportional to 1,369.86, 1,889.84 and 956.10 is: 1,319.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.86 : 1,889.84 = 956.10 : x
  2. Step 2: Convert to fraction form
    1,369.86/1,889.84 = 956.10/x
  3. Step 3: Cross multiply
    1,369.86x = 1,889.84 × 956.10
  4. Step 4: Simplify right side
    1,369.86x = 1,806,876.02
  5. Step 5: Solve for x
    x = 1,806,876.02/1,369.86
  6. Step 6: Final answer
    x = 1,319.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.