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Finding the Fourth Proportional to 1,373.51, 1,895.58 and 784.24

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Solution

The fourth proportional to 1,373.51, 1,895.58 and 784.24 is: 1,082.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,373.51 : 1,895.58 = 784.24 : x
  2. Step 2: Convert to fraction form
    1,373.51/1,895.58 = 784.24/x
  3. Step 3: Cross multiply
    1,373.51x = 1,895.58 × 784.24
  4. Step 4: Simplify right side
    1,373.51x = 1,486,589.66
  5. Step 5: Solve for x
    x = 1,486,589.66/1,373.51
  6. Step 6: Final answer
    x = 1,082.33

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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.