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Finding the Fourth Proportional to 2,014.60, 2,780.08 and 1,130.32

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Solution

The fourth proportional to 2,014.60, 2,780.08 and 1,130.32 is: 1,559.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.60 : 2,780.08 = 1,130.32 : x
  2. Step 2: Convert to fraction form
    2,014.60/2,780.08 = 1,130.32/x
  3. Step 3: Cross multiply
    2,014.60x = 2,780.08 × 1,130.32
  4. Step 4: Simplify right side
    2,014.60x = 3,142,380.03
  5. Step 5: Solve for x
    x = 3,142,380.03/2,014.60
  6. Step 6: Final answer
    x = 1,559.80

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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.