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Finding the Fourth Proportional to 2,585.59, 3,875.55 and 1,123

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Solution

The fourth proportional to 2,585.59, 3,875.55 and 1,123 is: 1,683.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.59 : 3,875.55 = 1,123 : x
  2. Step 2: Convert to fraction form
    2,585.59/3,875.55 = 1,123/x
  3. Step 3: Cross multiply
    2,585.59x = 3,875.55 × 1,123
  4. Step 4: Simplify right side
    2,585.59x = 4,352,242.65
  5. Step 5: Solve for x
    x = 4,352,242.65/2,585.59
  6. Step 6: Final answer
    x = 1,683.27

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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.