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Finding the Fourth Proportional to 1,678.70, 2,518.05 and 1,607.60

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Solution

The fourth proportional to 1,678.70, 2,518.05 and 1,607.60 is: 2,411.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.70 : 2,518.05 = 1,607.60 : x
  2. Step 2: Convert to fraction form
    1,678.70/2,518.05 = 1,607.60/x
  3. Step 3: Cross multiply
    1,678.70x = 2,518.05 × 1,607.60
  4. Step 4: Simplify right side
    1,678.70x = 4,048,017.18
  5. Step 5: Solve for x
    x = 4,048,017.18/1,678.70
  6. Step 6: Final answer
    x = 2,411.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.