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Finding the Fourth Proportional to 1,804.42, 2,701.64 and 925.03

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Solution

The fourth proportional to 1,804.42, 2,701.64 and 925.03 is: 1,384.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.42 : 2,701.64 = 925.03 : x
  2. Step 2: Convert to fraction form
    1,804.42/2,701.64 = 925.03/x
  3. Step 3: Cross multiply
    1,804.42x = 2,701.64 × 925.03
  4. Step 4: Simplify right side
    1,804.42x = 2,499,098.05
  5. Step 5: Solve for x
    x = 2,499,098.05/1,804.42
  6. Step 6: Final answer
    x = 1,384.99

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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.