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Finding the Fourth Proportional to 2,957.64, 4,437.48 and 1,315.34

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Solution

The fourth proportional to 2,957.64, 4,437.48 and 1,315.34 is: 1,973.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.64 : 4,437.48 = 1,315.34 : x
  2. Step 2: Convert to fraction form
    2,957.64/4,437.48 = 1,315.34/x
  3. Step 3: Cross multiply
    2,957.64x = 4,437.48 × 1,315.34
  4. Step 4: Simplify right side
    2,957.64x = 5,836,794.94
  5. Step 5: Solve for x
    x = 5,836,794.94/2,957.64
  6. Step 6: Final answer
    x = 1,973.46

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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.