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Finding the Fourth Proportional to 1,688.98, 2,527.98 and 1,455.70

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Solution

The fourth proportional to 1,688.98, 2,527.98 and 1,455.70 is: 2,178.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.98 : 2,527.98 = 1,455.70 : x
  2. Step 2: Convert to fraction form
    1,688.98/2,527.98 = 1,455.70/x
  3. Step 3: Cross multiply
    1,688.98x = 2,527.98 × 1,455.70
  4. Step 4: Simplify right side
    1,688.98x = 3,679,980.49
  5. Step 5: Solve for x
    x = 3,679,980.49/1,688.98
  6. Step 6: Final answer
    x = 2,178.82

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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.