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Finding the Fourth Proportional to 1,950.72, 2,925.50 and 1,025.77

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Solution

The fourth proportional to 1,950.72, 2,925.50 and 1,025.77 is: 1,538.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950.72 : 2,925.50 = 1,025.77 : x
  2. Step 2: Convert to fraction form
    1,950.72/2,925.50 = 1,025.77/x
  3. Step 3: Cross multiply
    1,950.72x = 2,925.50 × 1,025.77
  4. Step 4: Simplify right side
    1,950.72x = 3,000,892.51
  5. Step 5: Solve for x
    x = 3,000,892.51/1,950.72
  6. Step 6: Final answer
    x = 1,538.35

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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.