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Finding the Fourth Proportional to 1,848.24, 2,549.70 and 1,317.24

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Solution

The fourth proportional to 1,848.24, 2,549.70 and 1,317.24 is: 1,817.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,848.24 : 2,549.70 = 1,317.24 : x
  2. Step 2: Convert to fraction form
    1,848.24/2,549.70 = 1,317.24/x
  3. Step 3: Cross multiply
    1,848.24x = 2,549.70 × 1,317.24
  4. Step 4: Simplify right side
    1,848.24x = 3,358,566.83
  5. Step 5: Solve for x
    x = 3,358,566.83/1,848.24
  6. Step 6: Final answer
    x = 1,817.17

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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.