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Finding the Fourth Proportional to 1,484.64, 2,214.72 and 1,451.52

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Solution

The fourth proportional to 1,484.64, 2,214.72 and 1,451.52 is: 2,165.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.64 : 2,214.72 = 1,451.52 : x
  2. Step 2: Convert to fraction form
    1,484.64/2,214.72 = 1,451.52/x
  3. Step 3: Cross multiply
    1,484.64x = 2,214.72 × 1,451.52
  4. Step 4: Simplify right side
    1,484.64x = 3,214,710.37
  5. Step 5: Solve for x
    x = 3,214,710.37/1,484.64
  6. Step 6: Final answer
    x = 2,165.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.