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Finding the Fourth Proportional to 3,068.64, 4,603.71 and 988.84

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Solution

The fourth proportional to 3,068.64, 4,603.71 and 988.84 is: 1,483.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,068.64 : 4,603.71 = 988.84 : x
  2. Step 2: Convert to fraction form
    3,068.64/4,603.71 = 988.84/x
  3. Step 3: Cross multiply
    3,068.64x = 4,603.71 × 988.84
  4. Step 4: Simplify right side
    3,068.64x = 4,552,332.60
  5. Step 5: Solve for x
    x = 4,552,332.60/3,068.64
  6. Step 6: Final answer
    x = 1,483.50

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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.