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Finding the Fourth Proportional to 1,870.22, 2,580.71 and 1,030.88

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Solution

The fourth proportional to 1,870.22, 2,580.71 and 1,030.88 is: 1,422.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.22 : 2,580.71 = 1,030.88 : x
  2. Step 2: Convert to fraction form
    1,870.22/2,580.71 = 1,030.88/x
  3. Step 3: Cross multiply
    1,870.22x = 2,580.71 × 1,030.88
  4. Step 4: Simplify right side
    1,870.22x = 2,660,394.90
  5. Step 5: Solve for x
    x = 2,660,394.90/1,870.22
  6. Step 6: Final answer
    x = 1,422.50

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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.