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Finding the Fourth Proportional to 1,312.83, 1,812.51 and 1,017.54

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Solution

The fourth proportional to 1,312.83, 1,812.51 and 1,017.54 is: 1,404.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.83 : 1,812.51 = 1,017.54 : x
  2. Step 2: Convert to fraction form
    1,312.83/1,812.51 = 1,017.54/x
  3. Step 3: Cross multiply
    1,312.83x = 1,812.51 × 1,017.54
  4. Step 4: Simplify right side
    1,312.83x = 1,844,301.43
  5. Step 5: Solve for x
    x = 1,844,301.43/1,312.83
  6. Step 6: Final answer
    x = 1,404.83

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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.