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Finding the Fourth Proportional to 1,762.07, 2,430.90 and 1,165.37

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Solution

The fourth proportional to 1,762.07, 2,430.90 and 1,165.37 is: 1,607.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.07 : 2,430.90 = 1,165.37 : x
  2. Step 2: Convert to fraction form
    1,762.07/2,430.90 = 1,165.37/x
  3. Step 3: Cross multiply
    1,762.07x = 2,430.90 × 1,165.37
  4. Step 4: Simplify right side
    1,762.07x = 2,832,885.78
  5. Step 5: Solve for x
    x = 2,832,885.78/1,762.07
  6. Step 6: Final answer
    x = 1,607.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.