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Finding the Fourth Proportional to 2,897.18, 4,346 and 1,165.82

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Solution

The fourth proportional to 2,897.18, 4,346 and 1,165.82 is: 1,748.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.18 : 4,346 = 1,165.82 : x
  2. Step 2: Convert to fraction form
    2,897.18/4,346 = 1,165.82/x
  3. Step 3: Cross multiply
    2,897.18x = 4,346 × 1,165.82
  4. Step 4: Simplify right side
    2,897.18x = 5,066,653.72
  5. Step 5: Solve for x
    x = 5,066,653.72/2,897.18
  6. Step 6: Final answer
    x = 1,748.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.