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Finding the Fourth Proportional to 1,703.24, 2,347.77 and 1,343.76

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Solution

The fourth proportional to 1,703.24, 2,347.77 and 1,343.76 is: 1,852.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.24 : 2,347.77 = 1,343.76 : x
  2. Step 2: Convert to fraction form
    1,703.24/2,347.77 = 1,343.76/x
  3. Step 3: Cross multiply
    1,703.24x = 2,347.77 × 1,343.76
  4. Step 4: Simplify right side
    1,703.24x = 3,154,828.09
  5. Step 5: Solve for x
    x = 3,154,828.09/1,703.24
  6. Step 6: Final answer
    x = 1,852.25

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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.