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Finding the Fourth Proportional to 2,434.64, 3,653.44 and 973.53

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Solution

The fourth proportional to 2,434.64, 3,653.44 and 973.53 is: 1,460.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,434.64 : 3,653.44 = 973.53 : x
  2. Step 2: Convert to fraction form
    2,434.64/3,653.44 = 973.53/x
  3. Step 3: Cross multiply
    2,434.64x = 3,653.44 × 973.53
  4. Step 4: Simplify right side
    2,434.64x = 3,556,731.01
  5. Step 5: Solve for x
    x = 3,556,731.01/2,434.64
  6. Step 6: Final answer
    x = 1,460.89

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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.