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Finding the Fourth Proportional to 2,256.58, 3,368.53 and 1,950.40

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Solution

The fourth proportional to 2,256.58, 3,368.53 and 1,950.40 is: 2,911.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.58 : 3,368.53 = 1,950.40 : x
  2. Step 2: Convert to fraction form
    2,256.58/3,368.53 = 1,950.40/x
  3. Step 3: Cross multiply
    2,256.58x = 3,368.53 × 1,950.40
  4. Step 4: Simplify right side
    2,256.58x = 6,569,980.91
  5. Step 5: Solve for x
    x = 6,569,980.91/2,256.58
  6. Step 6: Final answer
    x = 2,911.48

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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.