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Finding the Fourth Proportional to 2,448.64, 3,674.16 and 989.08

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Solution

The fourth proportional to 2,448.64, 3,674.16 and 989.08 is: 1,484.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,448.64 : 3,674.16 = 989.08 : x
  2. Step 2: Convert to fraction form
    2,448.64/3,674.16 = 989.08/x
  3. Step 3: Cross multiply
    2,448.64x = 3,674.16 × 989.08
  4. Step 4: Simplify right side
    2,448.64x = 3,634,038.17
  5. Step 5: Solve for x
    x = 3,634,038.17/2,448.64
  6. Step 6: Final answer
    x = 1,484.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.