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Finding the Fourth Proportional to 1,970.02, 2,716.50 and 1,526.86

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Solution

The fourth proportional to 1,970.02, 2,716.50 and 1,526.86 is: 2,105.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.02 : 2,716.50 = 1,526.86 : x
  2. Step 2: Convert to fraction form
    1,970.02/2,716.50 = 1,526.86/x
  3. Step 3: Cross multiply
    1,970.02x = 2,716.50 × 1,526.86
  4. Step 4: Simplify right side
    1,970.02x = 4,147,715.19
  5. Step 5: Solve for x
    x = 4,147,715.19/1,970.02
  6. Step 6: Final answer
    x = 2,105.42

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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.