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Finding the Fourth Proportional to 1,937.51, 2,905.96 and 841.58

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Solution

The fourth proportional to 1,937.51, 2,905.96 and 841.58 is: 1,262.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,937.51 : 2,905.96 = 841.58 : x
  2. Step 2: Convert to fraction form
    1,937.51/2,905.96 = 841.58/x
  3. Step 3: Cross multiply
    1,937.51x = 2,905.96 × 841.58
  4. Step 4: Simplify right side
    1,937.51x = 2,445,597.82
  5. Step 5: Solve for x
    x = 2,445,597.82/1,937.51
  6. Step 6: Final answer
    x = 1,262.24

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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.