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Finding the Fourth Proportional to 1,713.80, 2,368.08 and 1,564.40

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Solution

The fourth proportional to 1,713.80, 2,368.08 and 1,564.40 is: 2,161.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713.80 : 2,368.08 = 1,564.40 : x
  2. Step 2: Convert to fraction form
    1,713.80/2,368.08 = 1,564.40/x
  3. Step 3: Cross multiply
    1,713.80x = 2,368.08 × 1,564.40
  4. Step 4: Simplify right side
    1,713.80x = 3,704,624.35
  5. Step 5: Solve for x
    x = 3,704,624.35/1,713.80
  6. Step 6: Final answer
    x = 2,161.64

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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.