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Finding the Fourth Proportional to 2,130.96, 2,941.44 and 1,470

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Solution

The fourth proportional to 2,130.96, 2,941.44 and 1,470 is: 2,029.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.96 : 2,941.44 = 1,470 : x
  2. Step 2: Convert to fraction form
    2,130.96/2,941.44 = 1,470/x
  3. Step 3: Cross multiply
    2,130.96x = 2,941.44 × 1,470
  4. Step 4: Simplify right side
    2,130.96x = 4,323,916.80
  5. Step 5: Solve for x
    x = 4,323,916.80/2,130.96
  6. Step 6: Final answer
    x = 2,029.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.