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Finding the Fourth Proportional to 1,753.03, 2,417.15 and 1,193.83

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Solution

The fourth proportional to 1,753.03, 2,417.15 and 1,193.83 is: 1,646.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753.03 : 2,417.15 = 1,193.83 : x
  2. Step 2: Convert to fraction form
    1,753.03/2,417.15 = 1,193.83/x
  3. Step 3: Cross multiply
    1,753.03x = 2,417.15 × 1,193.83
  4. Step 4: Simplify right side
    1,753.03x = 2,885,666.18
  5. Step 5: Solve for x
    x = 2,885,666.18/1,753.03
  6. Step 6: Final answer
    x = 1,646.10

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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.