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Finding the Fourth Proportional to 1,814.76, 2,503.95 and 1,106.40

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Solution

The fourth proportional to 1,814.76, 2,503.95 and 1,106.40 is: 1,526.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,814.76 : 2,503.95 = 1,106.40 : x
  2. Step 2: Convert to fraction form
    1,814.76/2,503.95 = 1,106.40/x
  3. Step 3: Cross multiply
    1,814.76x = 2,503.95 × 1,106.40
  4. Step 4: Simplify right side
    1,814.76x = 2,770,370.28
  5. Step 5: Solve for x
    x = 2,770,370.28/1,814.76
  6. Step 6: Final answer
    x = 1,526.58

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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.