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Finding the Fourth Proportional to 1,484.64, 2,225.76 and 619.60

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Solution

The fourth proportional to 1,484.64, 2,225.76 and 619.60 is: 928.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.64 : 2,225.76 = 619.60 : x
  2. Step 2: Convert to fraction form
    1,484.64/2,225.76 = 619.60/x
  3. Step 3: Cross multiply
    1,484.64x = 2,225.76 × 619.60
  4. Step 4: Simplify right side
    1,484.64x = 1,379,080.90
  5. Step 5: Solve for x
    x = 1,379,080.90/1,484.64
  6. Step 6: Final answer
    x = 928.90

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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.