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Finding the Fourth Proportional to 2,887.95, 3,985.35 and 1,561.64

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Solution

The fourth proportional to 2,887.95, 3,985.35 and 1,561.64 is: 2,155.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,887.95 : 3,985.35 = 1,561.64 : x
  2. Step 2: Convert to fraction form
    2,887.95/3,985.35 = 1,561.64/x
  3. Step 3: Cross multiply
    2,887.95x = 3,985.35 × 1,561.64
  4. Step 4: Simplify right side
    2,887.95x = 6,223,686.08
  5. Step 5: Solve for x
    x = 6,223,686.08/2,887.95
  6. Step 6: Final answer
    x = 2,155.05

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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.