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Finding the Fourth Proportional to 1,484.21, 2,048.36 and 924.72

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Solution

The fourth proportional to 1,484.21, 2,048.36 and 924.72 is: 1,276.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.21 : 2,048.36 = 924.72 : x
  2. Step 2: Convert to fraction form
    1,484.21/2,048.36 = 924.72/x
  3. Step 3: Cross multiply
    1,484.21x = 2,048.36 × 924.72
  4. Step 4: Simplify right side
    1,484.21x = 1,894,154.84
  5. Step 5: Solve for x
    x = 1,894,154.84/1,484.21
  6. Step 6: Final answer
    x = 1,276.21

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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.