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Finding the Fourth Proportional to 1,870.59, 2,580.88 and 1,207.82

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Solution

The fourth proportional to 1,870.59, 2,580.88 and 1,207.82 is: 1,666.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.59 : 2,580.88 = 1,207.82 : x
  2. Step 2: Convert to fraction form
    1,870.59/2,580.88 = 1,207.82/x
  3. Step 3: Cross multiply
    1,870.59x = 2,580.88 × 1,207.82
  4. Step 4: Simplify right side
    1,870.59x = 3,117,238.48
  5. Step 5: Solve for x
    x = 3,117,238.48/1,870.59
  6. Step 6: Final answer
    x = 1,666.45

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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.