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Finding the Fourth Proportional to 1,907.60, 2,632.50 and 1,111.12

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Solution

The fourth proportional to 1,907.60, 2,632.50 and 1,111.12 is: 1,533.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,907.60 : 2,632.50 = 1,111.12 : x
  2. Step 2: Convert to fraction form
    1,907.60/2,632.50 = 1,111.12/x
  3. Step 3: Cross multiply
    1,907.60x = 2,632.50 × 1,111.12
  4. Step 4: Simplify right side
    1,907.60x = 2,925,010.24
  5. Step 5: Solve for x
    x = 2,925,010.24/1,907.60
  6. Step 6: Final answer
    x = 1,533.35

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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.