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Finding the Fourth Proportional to 1,573.34, 2,348.51 and 1,459.26

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Solution

The fourth proportional to 1,573.34, 2,348.51 and 1,459.26 is: 2,178.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573.34 : 2,348.51 = 1,459.26 : x
  2. Step 2: Convert to fraction form
    1,573.34/2,348.51 = 1,459.26/x
  3. Step 3: Cross multiply
    1,573.34x = 2,348.51 × 1,459.26
  4. Step 4: Simplify right side
    1,573.34x = 3,427,079.41
  5. Step 5: Solve for x
    x = 3,427,079.41/1,573.34
  6. Step 6: Final answer
    x = 2,178.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.