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Finding the Fourth Proportional to 1,804.71, 2,488.94 and 1,175

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Solution

The fourth proportional to 1,804.71, 2,488.94 and 1,175 is: 1,620.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.71 : 2,488.94 = 1,175 : x
  2. Step 2: Convert to fraction form
    1,804.71/2,488.94 = 1,175/x
  3. Step 3: Cross multiply
    1,804.71x = 2,488.94 × 1,175
  4. Step 4: Simplify right side
    1,804.71x = 2,924,504.50
  5. Step 5: Solve for x
    x = 2,924,504.50/1,804.71
  6. Step 6: Final answer
    x = 1,620.48

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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.