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Finding the Fourth Proportional to 1,777.12, 2,652.90 and 1,411.40

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Solution

The fourth proportional to 1,777.12, 2,652.90 and 1,411.40 is: 2,106.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.12 : 2,652.90 = 1,411.40 : x
  2. Step 2: Convert to fraction form
    1,777.12/2,652.90 = 1,411.40/x
  3. Step 3: Cross multiply
    1,777.12x = 2,652.90 × 1,411.40
  4. Step 4: Simplify right side
    1,777.12x = 3,744,303.06
  5. Step 5: Solve for x
    x = 3,744,303.06/1,777.12
  6. Step 6: Final answer
    x = 2,106.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.