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Finding the Fourth Proportional to 1,585.95, 2,188.50 and 922.77

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Solution

The fourth proportional to 1,585.95, 2,188.50 and 922.77 is: 1,273.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.95 : 2,188.50 = 922.77 : x
  2. Step 2: Convert to fraction form
    1,585.95/2,188.50 = 922.77/x
  3. Step 3: Cross multiply
    1,585.95x = 2,188.50 × 922.77
  4. Step 4: Simplify right side
    1,585.95x = 2,019,482.15
  5. Step 5: Solve for x
    x = 2,019,482.15/1,585.95
  6. Step 6: Final answer
    x = 1,273.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.