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Finding the Fourth Proportional to 2,583.95, 3,565.85 and 1,405.02

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Solution

The fourth proportional to 2,583.95, 3,565.85 and 1,405.02 is: 1,938.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.95 : 3,565.85 = 1,405.02 : x
  2. Step 2: Convert to fraction form
    2,583.95/3,565.85 = 1,405.02/x
  3. Step 3: Cross multiply
    2,583.95x = 3,565.85 × 1,405.02
  4. Step 4: Simplify right side
    2,583.95x = 5,010,090.57
  5. Step 5: Solve for x
    x = 5,010,090.57/2,583.95
  6. Step 6: Final answer
    x = 1,938.93

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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.