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Finding the Fourth Proportional to 2,957.52, 4,434.84 and 1,312.68

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Solution

The fourth proportional to 2,957.52, 4,434.84 and 1,312.68 is: 1,968.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.52 : 4,434.84 = 1,312.68 : x
  2. Step 2: Convert to fraction form
    2,957.52/4,434.84 = 1,312.68/x
  3. Step 3: Cross multiply
    2,957.52x = 4,434.84 × 1,312.68
  4. Step 4: Simplify right side
    2,957.52x = 5,821,525.77
  5. Step 5: Solve for x
    x = 5,821,525.77/2,957.52
  6. Step 6: Final answer
    x = 1,968.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.