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Finding the Fourth Proportional to 4,339.76, 6,510.60 and 2,030

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Solution

The fourth proportional to 4,339.76, 6,510.60 and 2,030 is: 3,045.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,339.76 : 6,510.60 = 2,030 : x
  2. Step 2: Convert to fraction form
    4,339.76/6,510.60 = 2,030/x
  3. Step 3: Cross multiply
    4,339.76x = 6,510.60 × 2,030
  4. Step 4: Simplify right side
    4,339.76x = 13,216,518
  5. Step 5: Solve for x
    x = 13,216,518/4,339.76
  6. Step 6: Final answer
    x = 3,045.45

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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.