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Finding the Fourth Proportional to 2,364.96, 3,547.44 and 1,937.28

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Solution

The fourth proportional to 2,364.96, 3,547.44 and 1,937.28 is: 2,905.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.96 : 3,547.44 = 1,937.28 : x
  2. Step 2: Convert to fraction form
    2,364.96/3,547.44 = 1,937.28/x
  3. Step 3: Cross multiply
    2,364.96x = 3,547.44 × 1,937.28
  4. Step 4: Simplify right side
    2,364.96x = 6,872,384.56
  5. Step 5: Solve for x
    x = 6,872,384.56/2,364.96
  6. Step 6: Final answer
    x = 2,905.92

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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.