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Finding the Fourth Proportional to 2,705.63, 4,055.00 and 1,534.77

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Solution

The fourth proportional to 2,705.63, 4,055.00 and 1,534.77 is: 2,300.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.63 : 4,055.00 = 1,534.77 : x
  2. Step 2: Convert to fraction form
    2,705.63/4,055.00 = 1,534.77/x
  3. Step 3: Cross multiply
    2,705.63x = 4,055.00 × 1,534.77
  4. Step 4: Simplify right side
    2,705.63x = 6,223,484.68
  5. Step 5: Solve for x
    x = 6,223,484.68/2,705.63
  6. Step 6: Final answer
    x = 2,300.20

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Why These Related Problems?

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