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Finding the Fourth Proportional to 1,281.10, 1,767.27 and 986.26

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Solution

The fourth proportional to 1,281.10, 1,767.27 and 986.26 is: 1,360.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.10 : 1,767.27 = 986.26 : x
  2. Step 2: Convert to fraction form
    1,281.10/1,767.27 = 986.26/x
  3. Step 3: Cross multiply
    1,281.10x = 1,767.27 × 986.26
  4. Step 4: Simplify right side
    1,281.10x = 1,742,987.71
  5. Step 5: Solve for x
    x = 1,742,987.71/1,281.10
  6. Step 6: Final answer
    x = 1,360.54

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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.