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Finding the Fourth Proportional to 1,569.86, 2,161.86 and 1,492.10

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Solution

The fourth proportional to 1,569.86, 2,161.86 and 1,492.10 is: 2,054.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.86 : 2,161.86 = 1,492.10 : x
  2. Step 2: Convert to fraction form
    1,569.86/2,161.86 = 1,492.10/x
  3. Step 3: Cross multiply
    1,569.86x = 2,161.86 × 1,492.10
  4. Step 4: Simplify right side
    1,569.86x = 3,225,711.31
  5. Step 5: Solve for x
    x = 3,225,711.31/1,569.86
  6. Step 6: Final answer
    x = 2,054.78

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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.