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Finding the Fourth Proportional to 2,158.74, 2,975.63 and 1,527.90

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Solution

The fourth proportional to 2,158.74, 2,975.63 and 1,527.90 is: 2,106.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.74 : 2,975.63 = 1,527.90 : x
  2. Step 2: Convert to fraction form
    2,158.74/2,975.63 = 1,527.90/x
  3. Step 3: Cross multiply
    2,158.74x = 2,975.63 × 1,527.90
  4. Step 4: Simplify right side
    2,158.74x = 4,546,457.44
  5. Step 5: Solve for x
    x = 4,546,457.44/2,158.74
  6. Step 6: Final answer
    x = 2,106.07

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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.