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Finding the Fourth Proportional to 1,477.26, 2,038.62 and 856.62

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Solution

The fourth proportional to 1,477.26, 2,038.62 and 856.62 is: 1,182.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.26 : 2,038.62 = 856.62 : x
  2. Step 2: Convert to fraction form
    1,477.26/2,038.62 = 856.62/x
  3. Step 3: Cross multiply
    1,477.26x = 2,038.62 × 856.62
  4. Step 4: Simplify right side
    1,477.26x = 1,746,322.66
  5. Step 5: Solve for x
    x = 1,746,322.66/1,477.26
  6. Step 6: Final answer
    x = 1,182.14

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Why These Related Problems?

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