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Finding the Fourth Proportional to 2,888.06, 3,985.52 and 1,561.77

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Solution

The fourth proportional to 2,888.06, 3,985.52 and 1,561.77 is: 2,155.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,888.06 : 3,985.52 = 1,561.77 : x
  2. Step 2: Convert to fraction form
    2,888.06/3,985.52 = 1,561.77/x
  3. Step 3: Cross multiply
    2,888.06x = 3,985.52 × 1,561.77
  4. Step 4: Simplify right side
    2,888.06x = 6,224,465.57
  5. Step 5: Solve for x
    x = 6,224,465.57/2,888.06
  6. Step 6: Final answer
    x = 2,155.24

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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.