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Finding the Fourth Proportional to 1,700.31, 2,549.30 and 589.45

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Solution

The fourth proportional to 1,700.31, 2,549.30 and 589.45 is: 883.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700.31 : 2,549.30 = 589.45 : x
  2. Step 2: Convert to fraction form
    1,700.31/2,549.30 = 589.45/x
  3. Step 3: Cross multiply
    1,700.31x = 2,549.30 × 589.45
  4. Step 4: Simplify right side
    1,700.31x = 1,502,669.19
  5. Step 5: Solve for x
    x = 1,502,669.19/1,700.31
  6. Step 6: Final answer
    x = 883.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.