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Finding the Fourth Proportional to 1,755.84, 2,423.16 and 1,057.32

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Solution

The fourth proportional to 1,755.84, 2,423.16 and 1,057.32 is: 1,459.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755.84 : 2,423.16 = 1,057.32 : x
  2. Step 2: Convert to fraction form
    1,755.84/2,423.16 = 1,057.32/x
  3. Step 3: Cross multiply
    1,755.84x = 2,423.16 × 1,057.32
  4. Step 4: Simplify right side
    1,755.84x = 2,562,055.53
  5. Step 5: Solve for x
    x = 2,562,055.53/1,755.84
  6. Step 6: Final answer
    x = 1,459.16

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Why These Related Problems?

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