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Finding the Fourth Proportional to 1,619.84, 2,430.72 and 646.40

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Solution

The fourth proportional to 1,619.84, 2,430.72 and 646.40 is: 969.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.84 : 2,430.72 = 646.40 : x
  2. Step 2: Convert to fraction form
    1,619.84/2,430.72 = 646.40/x
  3. Step 3: Cross multiply
    1,619.84x = 2,430.72 × 646.40
  4. Step 4: Simplify right side
    1,619.84x = 1,571,217.41
  5. Step 5: Solve for x
    x = 1,571,217.41/1,619.84
  6. Step 6: Final answer
    x = 969.98

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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.