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Finding the Fourth Proportional to 1,477.30, 2,038.62 and 887.89

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Solution

The fourth proportional to 1,477.30, 2,038.62 and 887.89 is: 1,225.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.30 : 2,038.62 = 887.89 : x
  2. Step 2: Convert to fraction form
    1,477.30/2,038.62 = 887.89/x
  3. Step 3: Cross multiply
    1,477.30x = 2,038.62 × 887.89
  4. Step 4: Simplify right side
    1,477.30x = 1,810,070.31
  5. Step 5: Solve for x
    x = 1,810,070.31/1,477.30
  6. Step 6: Final answer
    x = 1,225.26

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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.