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Finding the Fourth Proportional to 1,477.23, 2,038.76 and 887.64

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Solution

The fourth proportional to 1,477.23, 2,038.76 and 887.64 is: 1,225.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.23 : 2,038.76 = 887.64 : x
  2. Step 2: Convert to fraction form
    1,477.23/2,038.76 = 887.64/x
  3. Step 3: Cross multiply
    1,477.23x = 2,038.76 × 887.64
  4. Step 4: Simplify right side
    1,477.23x = 1,809,684.93
  5. Step 5: Solve for x
    x = 1,809,684.93/1,477.23
  6. Step 6: Final answer
    x = 1,225.05

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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.