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Finding the Fourth Proportional to 1,760, 2,423.04 and 1,478.40

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Solution

The fourth proportional to 1,760, 2,423.04 and 1,478.40 is: 2,035.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760 : 2,423.04 = 1,478.40 : x
  2. Step 2: Convert to fraction form
    1,760/2,423.04 = 1,478.40/x
  3. Step 3: Cross multiply
    1,760x = 2,423.04 × 1,478.40
  4. Step 4: Simplify right side
    1,760x = 3,582,222.34
  5. Step 5: Solve for x
    x = 3,582,222.34/1,760
  6. Step 6: Final answer
    x = 2,035.35

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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.