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Finding the Fourth Proportional to 1,559.34, 2,123.06 and 1,554.48

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Solution

The fourth proportional to 1,559.34, 2,123.06 and 1,554.48 is: 2,116.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559.34 : 2,123.06 = 1,554.48 : x
  2. Step 2: Convert to fraction form
    1,559.34/2,123.06 = 1,554.48/x
  3. Step 3: Cross multiply
    1,559.34x = 2,123.06 × 1,554.48
  4. Step 4: Simplify right side
    1,559.34x = 3,300,254.31
  5. Step 5: Solve for x
    x = 3,300,254.31/1,559.34
  6. Step 6: Final answer
    x = 2,116.44

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.