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Finding the Fourth Proportional to 1,875.94, 2,589.56 and 1,130.53

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Solution

The fourth proportional to 1,875.94, 2,589.56 and 1,130.53 is: 1,560.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.94 : 2,589.56 = 1,130.53 : x
  2. Step 2: Convert to fraction form
    1,875.94/2,589.56 = 1,130.53/x
  3. Step 3: Cross multiply
    1,875.94x = 2,589.56 × 1,130.53
  4. Step 4: Simplify right side
    1,875.94x = 2,927,575.27
  5. Step 5: Solve for x
    x = 2,927,575.27/1,875.94
  6. Step 6: Final answer
    x = 1,560.59

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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.