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Finding the Fourth Proportional to 1,477.86, 2,038.95 and 848.46

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Solution

The fourth proportional to 1,477.86, 2,038.95 and 848.46 is: 1,170.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.86 : 2,038.95 = 848.46 : x
  2. Step 2: Convert to fraction form
    1,477.86/2,038.95 = 848.46/x
  3. Step 3: Cross multiply
    1,477.86x = 2,038.95 × 848.46
  4. Step 4: Simplify right side
    1,477.86x = 1,729,967.52
  5. Step 5: Solve for x
    x = 1,729,967.52/1,477.86
  6. Step 6: Final answer
    x = 1,170.59

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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.