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Finding the Fourth Proportional to 1,646.78, 2,457.74 and 1,507.36

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Solution

The fourth proportional to 1,646.78, 2,457.74 and 1,507.36 is: 2,249.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.78 : 2,457.74 = 1,507.36 : x
  2. Step 2: Convert to fraction form
    1,646.78/2,457.74 = 1,507.36/x
  3. Step 3: Cross multiply
    1,646.78x = 2,457.74 × 1,507.36
  4. Step 4: Simplify right side
    1,646.78x = 3,704,701.20
  5. Step 5: Solve for x
    x = 3,704,701.20/1,646.78
  6. Step 6: Final answer
    x = 2,249.66

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Why These Related Problems?

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