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Finding the Fourth Proportional to 4,648.40, 6,970.40 and 2,701.20

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Solution

The fourth proportional to 4,648.40, 6,970.40 and 2,701.20 is: 4,050.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.40 : 6,970.40 = 2,701.20 : x
  2. Step 2: Convert to fraction form
    4,648.40/6,970.40 = 2,701.20/x
  3. Step 3: Cross multiply
    4,648.40x = 6,970.40 × 2,701.20
  4. Step 4: Simplify right side
    4,648.40x = 18,828,444.48
  5. Step 5: Solve for x
    x = 18,828,444.48/4,648.40
  6. Step 6: Final answer
    x = 4,050.52

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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.