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Finding the Fourth Proportional to 1,840.57, 2,537.80 and 1,397.73

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Solution

The fourth proportional to 1,840.57, 2,537.80 and 1,397.73 is: 1,927.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,840.57 : 2,537.80 = 1,397.73 : x
  2. Step 2: Convert to fraction form
    1,840.57/2,537.80 = 1,397.73/x
  3. Step 3: Cross multiply
    1,840.57x = 2,537.80 × 1,397.73
  4. Step 4: Simplify right side
    1,840.57x = 3,547,159.19
  5. Step 5: Solve for x
    x = 3,547,159.19/1,840.57
  6. Step 6: Final answer
    x = 1,927.21

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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.