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Finding the Fourth Proportional to 1,345.60, 1,857 and 1,013.42

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Solution

The fourth proportional to 1,345.60, 1,857 and 1,013.42 is: 1,398.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.60 : 1,857 = 1,013.42 : x
  2. Step 2: Convert to fraction form
    1,345.60/1,857 = 1,013.42/x
  3. Step 3: Cross multiply
    1,345.60x = 1,857 × 1,013.42
  4. Step 4: Simplify right side
    1,345.60x = 1,881,920.94
  5. Step 5: Solve for x
    x = 1,881,920.94/1,345.60
  6. Step 6: Final answer
    x = 1,398.57

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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.