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Finding the Fourth Proportional to 1,897.16, 2,617.78 and 1,069

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Solution

The fourth proportional to 1,897.16, 2,617.78 and 1,069 is: 1,475.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.16 : 2,617.78 = 1,069 : x
  2. Step 2: Convert to fraction form
    1,897.16/2,617.78 = 1,069/x
  3. Step 3: Cross multiply
    1,897.16x = 2,617.78 × 1,069
  4. Step 4: Simplify right side
    1,897.16x = 2,798,406.82
  5. Step 5: Solve for x
    x = 2,798,406.82/1,897.16
  6. Step 6: Final answer
    x = 1,475.05

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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.