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Finding the Fourth Proportional to 2,570.64, 3,860.66 and 2,353.76

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Solution

The fourth proportional to 2,570.64, 3,860.66 and 2,353.76 is: 3,534.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.64 : 3,860.66 = 2,353.76 : x
  2. Step 2: Convert to fraction form
    2,570.64/3,860.66 = 2,353.76/x
  3. Step 3: Cross multiply
    2,570.64x = 3,860.66 × 2,353.76
  4. Step 4: Simplify right side
    2,570.64x = 9,087,068.14
  5. Step 5: Solve for x
    x = 9,087,068.14/2,570.64
  6. Step 6: Final answer
    x = 3,534.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.