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Finding the Fourth Proportional to 1,903.02, 2,609.40 and 1,715.76

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Solution

The fourth proportional to 1,903.02, 2,609.40 and 1,715.76 is: 2,352.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,903.02 : 2,609.40 = 1,715.76 : x
  2. Step 2: Convert to fraction form
    1,903.02/2,609.40 = 1,715.76/x
  3. Step 3: Cross multiply
    1,903.02x = 2,609.40 × 1,715.76
  4. Step 4: Simplify right side
    1,903.02x = 4,477,104.14
  5. Step 5: Solve for x
    x = 4,477,104.14/1,903.02
  6. Step 6: Final answer
    x = 2,352.63

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.