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Finding the Fourth Proportional to 2,148.40, 2,964.54 and 1,264.42

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Solution

The fourth proportional to 2,148.40, 2,964.54 and 1,264.42 is: 1,744.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.40 : 2,964.54 = 1,264.42 : x
  2. Step 2: Convert to fraction form
    2,148.40/2,964.54 = 1,264.42/x
  3. Step 3: Cross multiply
    2,148.40x = 2,964.54 × 1,264.42
  4. Step 4: Simplify right side
    2,148.40x = 3,748,423.67
  5. Step 5: Solve for x
    x = 3,748,423.67/2,148.40
  6. Step 6: Final answer
    x = 1,744.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.