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Finding the Fourth Proportional to 4,465.73, 6,702.02 and 1,870.49

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Solution

The fourth proportional to 4,465.73, 6,702.02 and 1,870.49 is: 2,807.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,465.73 : 6,702.02 = 1,870.49 : x
  2. Step 2: Convert to fraction form
    4,465.73/6,702.02 = 1,870.49/x
  3. Step 3: Cross multiply
    4,465.73x = 6,702.02 × 1,870.49
  4. Step 4: Simplify right side
    4,465.73x = 12,536,075.81
  5. Step 5: Solve for x
    x = 12,536,075.81/4,465.73
  6. Step 6: Final answer
    x = 2,807.17

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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.