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Finding the Fourth Proportional to 1,345.22, 1,857.23 and 1,066.58

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Solution

The fourth proportional to 1,345.22, 1,857.23 and 1,066.58 is: 1,472.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.22 : 1,857.23 = 1,066.58 : x
  2. Step 2: Convert to fraction form
    1,345.22/1,857.23 = 1,066.58/x
  3. Step 3: Cross multiply
    1,345.22x = 1,857.23 × 1,066.58
  4. Step 4: Simplify right side
    1,345.22x = 1,980,869.75
  5. Step 5: Solve for x
    x = 1,980,869.75/1,345.22
  6. Step 6: Final answer
    x = 1,472.53

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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.