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Finding the Fourth Proportional to 1,730.72, 2,391 and 1,134.63

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Solution

The fourth proportional to 1,730.72, 2,391 and 1,134.63 is: 1,567.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.72 : 2,391 = 1,134.63 : x
  2. Step 2: Convert to fraction form
    1,730.72/2,391 = 1,134.63/x
  3. Step 3: Cross multiply
    1,730.72x = 2,391 × 1,134.63
  4. Step 4: Simplify right side
    1,730.72x = 2,712,900.33
  5. Step 5: Solve for x
    x = 2,712,900.33/1,730.72
  6. Step 6: Final answer
    x = 1,567.50

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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.