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Finding the Fourth Proportional to 1,846.56, 2,547.72 and 1,596

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Solution

The fourth proportional to 1,846.56, 2,547.72 and 1,596 is: 2,202.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.56 : 2,547.72 = 1,596 : x
  2. Step 2: Convert to fraction form
    1,846.56/2,547.72 = 1,596/x
  3. Step 3: Cross multiply
    1,846.56x = 2,547.72 × 1,596
  4. Step 4: Simplify right side
    1,846.56x = 4,066,161.12
  5. Step 5: Solve for x
    x = 4,066,161.12/1,846.56
  6. Step 6: Final answer
    x = 2,202.02

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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.