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Finding the Fourth Proportional to 2,389.68, 3,585.45 and 928.98

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Solution

The fourth proportional to 2,389.68, 3,585.45 and 928.98 is: 1,393.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.68 : 3,585.45 = 928.98 : x
  2. Step 2: Convert to fraction form
    2,389.68/3,585.45 = 928.98/x
  3. Step 3: Cross multiply
    2,389.68x = 3,585.45 × 928.98
  4. Step 4: Simplify right side
    2,389.68x = 3,330,811.34
  5. Step 5: Solve for x
    x = 3,330,811.34/2,389.68
  6. Step 6: Final answer
    x = 1,393.83

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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.