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Finding the Fourth Proportional to 1,840.48, 2,538.16 and 1,560.40

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Solution

The fourth proportional to 1,840.48, 2,538.16 and 1,560.40 is: 2,151.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,840.48 : 2,538.16 = 1,560.40 : x
  2. Step 2: Convert to fraction form
    1,840.48/2,538.16 = 1,560.40/x
  3. Step 3: Cross multiply
    1,840.48x = 2,538.16 × 1,560.40
  4. Step 4: Simplify right side
    1,840.48x = 3,960,544.86
  5. Step 5: Solve for x
    x = 3,960,544.86/1,840.48
  6. Step 6: Final answer
    x = 2,151.91

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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.