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Finding the Fourth Proportional to 1,630.63, 2,448.93 and 1,564.58

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Solution

The fourth proportional to 1,630.63, 2,448.93 and 1,564.58 is: 2,349.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630.63 : 2,448.93 = 1,564.58 : x
  2. Step 2: Convert to fraction form
    1,630.63/2,448.93 = 1,564.58/x
  3. Step 3: Cross multiply
    1,630.63x = 2,448.93 × 1,564.58
  4. Step 4: Simplify right side
    1,630.63x = 3,831,558.89
  5. Step 5: Solve for x
    x = 3,831,558.89/1,630.63
  6. Step 6: Final answer
    x = 2,349.74

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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.