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Finding the Fourth Proportional to 1,852.64, 2,554.96 and 1,585.12

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Solution

The fourth proportional to 1,852.64, 2,554.96 and 1,585.12 is: 2,186.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.64 : 2,554.96 = 1,585.12 : x
  2. Step 2: Convert to fraction form
    1,852.64/2,554.96 = 1,585.12/x
  3. Step 3: Cross multiply
    1,852.64x = 2,554.96 × 1,585.12
  4. Step 4: Simplify right side
    1,852.64x = 4,049,918.20
  5. Step 5: Solve for x
    x = 4,049,918.20/1,852.64
  6. Step 6: Final answer
    x = 2,186.03

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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.