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Finding the Fourth Proportional to 2,762.16, 4,134.60 and 1,460.40

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Solution

The fourth proportional to 2,762.16, 4,134.60 and 1,460.40 is: 2,186.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.16 : 4,134.60 = 1,460.40 : x
  2. Step 2: Convert to fraction form
    2,762.16/4,134.60 = 1,460.40/x
  3. Step 3: Cross multiply
    2,762.16x = 4,134.60 × 1,460.40
  4. Step 4: Simplify right side
    2,762.16x = 6,038,169.84
  5. Step 5: Solve for x
    x = 6,038,169.84/2,762.16
  6. Step 6: Final answer
    x = 2,186.03

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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.