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Finding the Fourth Proportional to 2,724.19, 4,085.90 and 875.07

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Solution

The fourth proportional to 2,724.19, 4,085.90 and 875.07 is: 1,312.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,724.19 : 4,085.90 = 875.07 : x
  2. Step 2: Convert to fraction form
    2,724.19/4,085.90 = 875.07/x
  3. Step 3: Cross multiply
    2,724.19x = 4,085.90 × 875.07
  4. Step 4: Simplify right side
    2,724.19x = 3,575,448.51
  5. Step 5: Solve for x
    x = 3,575,448.51/2,724.19
  6. Step 6: Final answer
    x = 1,312.48

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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.