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Finding the Fourth Proportional to 2,070.76, 3,106.54 and 916.52

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Solution

The fourth proportional to 2,070.76, 3,106.54 and 916.52 is: 1,374.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.76 : 3,106.54 = 916.52 : x
  2. Step 2: Convert to fraction form
    2,070.76/3,106.54 = 916.52/x
  3. Step 3: Cross multiply
    2,070.76x = 3,106.54 × 916.52
  4. Step 4: Simplify right side
    2,070.76x = 2,847,206.04
  5. Step 5: Solve for x
    x = 2,847,206.04/2,070.76
  6. Step 6: Final answer
    x = 1,374.96

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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.