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Finding the Fourth Proportional to 1,175.23, 1,752.47 and 1,164.68

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Solution

The fourth proportional to 1,175.23, 1,752.47 and 1,164.68 is: 1,736.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.23 : 1,752.47 = 1,164.68 : x
  2. Step 2: Convert to fraction form
    1,175.23/1,752.47 = 1,164.68/x
  3. Step 3: Cross multiply
    1,175.23x = 1,752.47 × 1,164.68
  4. Step 4: Simplify right side
    1,175.23x = 2,041,068.04
  5. Step 5: Solve for x
    x = 2,041,068.04/1,175.23
  6. Step 6: Final answer
    x = 1,736.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.