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Finding the Fourth Proportional to 2,583.99, 3,565.76 and 1,405.06

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Solution

The fourth proportional to 2,583.99, 3,565.76 and 1,405.06 is: 1,938.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.99 : 3,565.76 = 1,405.06 : x
  2. Step 2: Convert to fraction form
    2,583.99/3,565.76 = 1,405.06/x
  3. Step 3: Cross multiply
    2,583.99x = 3,565.76 × 1,405.06
  4. Step 4: Simplify right side
    2,583.99x = 5,010,106.75
  5. Step 5: Solve for x
    x = 5,010,106.75/2,583.99
  6. Step 6: Final answer
    x = 1,938.90

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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.