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Finding the Fourth Proportional to 2,901.60, 4,352.40 and 710.30

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Solution

The fourth proportional to 2,901.60, 4,352.40 and 710.30 is: 1,065.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,901.60 : 4,352.40 = 710.30 : x
  2. Step 2: Convert to fraction form
    2,901.60/4,352.40 = 710.30/x
  3. Step 3: Cross multiply
    2,901.60x = 4,352.40 × 710.30
  4. Step 4: Simplify right side
    2,901.60x = 3,091,509.72
  5. Step 5: Solve for x
    x = 3,091,509.72/2,901.60
  6. Step 6: Final answer
    x = 1,065.45

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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.