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Finding the Fourth Proportional to 1,642.03, 2,459.35 and 947.05

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Solution

The fourth proportional to 1,642.03, 2,459.35 and 947.05 is: 1,418.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.03 : 2,459.35 = 947.05 : x
  2. Step 2: Convert to fraction form
    1,642.03/2,459.35 = 947.05/x
  3. Step 3: Cross multiply
    1,642.03x = 2,459.35 × 947.05
  4. Step 4: Simplify right side
    1,642.03x = 2,329,127.42
  5. Step 5: Solve for x
    x = 2,329,127.42/1,642.03
  6. Step 6: Final answer
    x = 1,418.44

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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.