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Finding the Fourth Proportional to 1,916.60, 2,870.37 and 942.98

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Solution

The fourth proportional to 1,916.60, 2,870.37 and 942.98 is: 1,412.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,916.60 : 2,870.37 = 942.98 : x
  2. Step 2: Convert to fraction form
    1,916.60/2,870.37 = 942.98/x
  3. Step 3: Cross multiply
    1,916.60x = 2,870.37 × 942.98
  4. Step 4: Simplify right side
    1,916.60x = 2,706,701.50
  5. Step 5: Solve for x
    x = 2,706,701.50/1,916.60
  6. Step 6: Final answer
    x = 1,412.24

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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.