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Finding the Fourth Proportional to 2,069.13, 2,855.54 and 1,137.63

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Solution

The fourth proportional to 2,069.13, 2,855.54 and 1,137.63 is: 1,570.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.13 : 2,855.54 = 1,137.63 : x
  2. Step 2: Convert to fraction form
    2,069.13/2,855.54 = 1,137.63/x
  3. Step 3: Cross multiply
    2,069.13x = 2,855.54 × 1,137.63
  4. Step 4: Simplify right side
    2,069.13x = 3,248,547.97
  5. Step 5: Solve for x
    x = 3,248,547.97/2,069.13
  6. Step 6: Final answer
    x = 1,570.01

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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.