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Finding the Fourth Proportional to 3,055.76, 4,585.10 and 1,411.40

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Solution

The fourth proportional to 3,055.76, 4,585.10 and 1,411.40 is: 2,117.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,055.76 : 4,585.10 = 1,411.40 : x
  2. Step 2: Convert to fraction form
    3,055.76/4,585.10 = 1,411.40/x
  3. Step 3: Cross multiply
    3,055.76x = 4,585.10 × 1,411.40
  4. Step 4: Simplify right side
    3,055.76x = 6,471,410.14
  5. Step 5: Solve for x
    x = 6,471,410.14/3,055.76
  6. Step 6: Final answer
    x = 2,117.77

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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.